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Finding the Third Proportional to 32,124 and 66,708

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Solution

The third proportional to 32,124 and 66,708 is: 138,524.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,124 : 66,708 = 66,708 : x
  2. Step 2: Convert to fraction form
    32,124/66,708 = 66,708/x
  3. Step 3: Cross multiply
    32,124x = 66,708 × 66,708
  4. Step 4: Simplify right side
    32,124x = 4,449,957,264
  5. Step 5: Solve for x
    x = 4,449,957,264/32,124
  6. Step 6: Final answer
    x = 138,524.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.