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Finding the Third Proportional to 51,813 and 81,397.50

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Solution

The third proportional to 51,813 and 81,397.50 is: 127,874.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,813 : 81,397.50 = 81,397.50 : x
  2. Step 2: Convert to fraction form
    51,813/81,397.50 = 81,397.50/x
  3. Step 3: Cross multiply
    51,813x = 81,397.50 × 81,397.50
  4. Step 4: Simplify right side
    51,813x = 6,625,553,006.25
  5. Step 5: Solve for x
    x = 6,625,553,006.25/51,813
  6. Step 6: Final answer
    x = 127,874.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.