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Finding the Third Proportional to 23,724 and 36,432

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Solution

The third proportional to 23,724 and 36,432 is: 55,947.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,724 : 36,432 = 36,432 : x
  2. Step 2: Convert to fraction form
    23,724/36,432 = 36,432/x
  3. Step 3: Cross multiply
    23,724x = 36,432 × 36,432
  4. Step 4: Simplify right side
    23,724x = 1,327,290,624
  5. Step 5: Solve for x
    x = 1,327,290,624/23,724
  6. Step 6: Final answer
    x = 55,947.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.