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Finding the Third Proportional to 32,480 and 39,566

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Solution

The third proportional to 32,480 and 39,566 is: 48,197.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,480 : 39,566 = 39,566 : x
  2. Step 2: Convert to fraction form
    32,480/39,566 = 39,566/x
  3. Step 3: Cross multiply
    32,480x = 39,566 × 39,566
  4. Step 4: Simplify right side
    32,480x = 1,565,468,356
  5. Step 5: Solve for x
    x = 1,565,468,356/32,480
  6. Step 6: Final answer
    x = 48,197.92

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.