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Finding the Third Proportional to 61,807 and 73,471

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Solution

The third proportional to 61,807 and 73,471 is: 87,336.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,807 : 73,471 = 73,471 : x
  2. Step 2: Convert to fraction form
    61,807/73,471 = 73,471/x
  3. Step 3: Cross multiply
    61,807x = 73,471 × 73,471
  4. Step 4: Simplify right side
    61,807x = 5,397,987,841
  5. Step 5: Solve for x
    x = 5,397,987,841/61,807
  6. Step 6: Final answer
    x = 87,336.19

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.