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Finding the Third Proportional to 39,574 and 61,473

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Solution

The third proportional to 39,574 and 61,473 is: 95,490.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,574 : 61,473 = 61,473 : x
  2. Step 2: Convert to fraction form
    39,574/61,473 = 61,473/x
  3. Step 3: Cross multiply
    39,574x = 61,473 × 61,473
  4. Step 4: Simplify right side
    39,574x = 3,778,929,729
  5. Step 5: Solve for x
    x = 3,778,929,729/39,574
  6. Step 6: Final answer
    x = 95,490.21

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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.