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Finding the Third Proportional to 39,418 and 53,186

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Solution

The third proportional to 39,418 and 53,186 is: 71,762.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,418 : 53,186 = 53,186 : x
  2. Step 2: Convert to fraction form
    39,418/53,186 = 53,186/x
  3. Step 3: Cross multiply
    39,418x = 53,186 × 53,186
  4. Step 4: Simplify right side
    39,418x = 2,828,750,596
  5. Step 5: Solve for x
    x = 2,828,750,596/39,418
  6. Step 6: Final answer
    x = 71,762.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.