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Finding the Third Proportional to 21,689.50 and 47,531

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Solution

The third proportional to 21,689.50 and 47,531 is: 104,160.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,689.50 : 47,531 = 47,531 : x
  2. Step 2: Convert to fraction form
    21,689.50/47,531 = 47,531/x
  3. Step 3: Cross multiply
    21,689.50x = 47,531 × 47,531
  4. Step 4: Simplify right side
    21,689.50x = 2,259,195,961
  5. Step 5: Solve for x
    x = 2,259,195,961/21,689.50
  6. Step 6: Final answer
    x = 104,160.81

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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.