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Finding the Third Proportional to 39,888 and 61,754

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Solution

The third proportional to 39,888 and 61,754 is: 95,606.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,888 : 61,754 = 61,754 : x
  2. Step 2: Convert to fraction form
    39,888/61,754 = 61,754/x
  3. Step 3: Cross multiply
    39,888x = 61,754 × 61,754
  4. Step 4: Simplify right side
    39,888x = 3,813,556,516
  5. Step 5: Solve for x
    x = 3,813,556,516/39,888
  6. Step 6: Final answer
    x = 95,606.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.