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Finding the Third Proportional to 61,307.25 and 82,387.13

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Solution

The third proportional to 61,307.25 and 82,387.13 is: 110,715.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,307.25 : 82,387.13 = 82,387.13 : x
  2. Step 2: Convert to fraction form
    61,307.25/82,387.13 = 82,387.13/x
  3. Step 3: Cross multiply
    61,307.25x = 82,387.13 × 82,387.13
  4. Step 4: Simplify right side
    61,307.25x = 6,787,638,365.77
  5. Step 5: Solve for x
    x = 6,787,638,365.77/61,307.25
  6. Step 6: Final answer
    x = 110,715.10

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.