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Finding the Third Proportional to 9,850.04 and 21,374.51

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Solution

The third proportional to 9,850.04 and 21,374.51 is: 46,382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.04 : 21,374.51 = 21,374.51 : x
  2. Step 2: Convert to fraction form
    9,850.04/21,374.51 = 21,374.51/x
  3. Step 3: Cross multiply
    9,850.04x = 21,374.51 × 21,374.51
  4. Step 4: Simplify right side
    9,850.04x = 456,869,584.23
  5. Step 5: Solve for x
    x = 456,869,584.23/9,850.04
  6. Step 6: Final answer
    x = 46,382.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.