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Finding the Third Proportional to 39,405 and 60,566

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Solution

The third proportional to 39,405 and 60,566 is: 93,090.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,405 : 60,566 = 60,566 : x
  2. Step 2: Convert to fraction form
    39,405/60,566 = 60,566/x
  3. Step 3: Cross multiply
    39,405x = 60,566 × 60,566
  4. Step 4: Simplify right side
    39,405x = 3,668,240,356
  5. Step 5: Solve for x
    x = 3,668,240,356/39,405
  6. Step 6: Final answer
    x = 93,090.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.