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Finding the Third Proportional to 21,973.50 and 48,429

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Solution

The third proportional to 21,973.50 and 48,429 is: 106,736.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,973.50 : 48,429 = 48,429 : x
  2. Step 2: Convert to fraction form
    21,973.50/48,429 = 48,429/x
  3. Step 3: Cross multiply
    21,973.50x = 48,429 × 48,429
  4. Step 4: Simplify right side
    21,973.50x = 2,345,368,041
  5. Step 5: Solve for x
    x = 2,345,368,041/21,973.50
  6. Step 6: Final answer
    x = 106,736.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.