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Finding the Third Proportional to 23,952 and 32,523

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Solution

The third proportional to 23,952 and 32,523 is: 44,161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,952 : 32,523 = 32,523 : x
  2. Step 2: Convert to fraction form
    23,952/32,523 = 32,523/x
  3. Step 3: Cross multiply
    23,952x = 32,523 × 32,523
  4. Step 4: Simplify right side
    23,952x = 1,057,745,529
  5. Step 5: Solve for x
    x = 1,057,745,529/23,952
  6. Step 6: Final answer
    x = 44,161.05

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.