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Finding the Third Proportional to 21,980.25 and 48,098.25

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Solution

The third proportional to 21,980.25 and 48,098.25 is: 105,250.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,980.25 : 48,098.25 = 48,098.25 : x
  2. Step 2: Convert to fraction form
    21,980.25/48,098.25 = 48,098.25/x
  3. Step 3: Cross multiply
    21,980.25x = 48,098.25 × 48,098.25
  4. Step 4: Simplify right side
    21,980.25x = 2,313,441,653.06
  5. Step 5: Solve for x
    x = 2,313,441,653.06/21,980.25
  6. Step 6: Final answer
    x = 105,250.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.