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Finding the Third Proportional to 32,496 and 47,591

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Solution

The third proportional to 32,496 and 47,591 is: 69,697.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,496 : 47,591 = 47,591 : x
  2. Step 2: Convert to fraction form
    32,496/47,591 = 47,591/x
  3. Step 3: Cross multiply
    32,496x = 47,591 × 47,591
  4. Step 4: Simplify right side
    32,496x = 2,264,903,281
  5. Step 5: Solve for x
    x = 2,264,903,281/32,496
  6. Step 6: Final answer
    x = 69,697.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.