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Finding the Third Proportional to 32,548 and 67,040

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Solution

The third proportional to 32,548 and 67,040 is: 138,084.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,548 : 67,040 = 67,040 : x
  2. Step 2: Convert to fraction form
    32,548/67,040 = 67,040/x
  3. Step 3: Cross multiply
    32,548x = 67,040 × 67,040
  4. Step 4: Simplify right side
    32,548x = 4,494,361,600
  5. Step 5: Solve for x
    x = 4,494,361,600/32,548
  6. Step 6: Final answer
    x = 138,084.11

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.