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Finding the Third Proportional to 32,374 and 68,606

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Solution

The third proportional to 32,374 and 68,606 is: 145,387.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,374 : 68,606 = 68,606 : x
  2. Step 2: Convert to fraction form
    32,374/68,606 = 68,606/x
  3. Step 3: Cross multiply
    32,374x = 68,606 × 68,606
  4. Step 4: Simplify right side
    32,374x = 4,706,783,236
  5. Step 5: Solve for x
    x = 4,706,783,236/32,374
  6. Step 6: Final answer
    x = 145,387.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.