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Finding the Third Proportional to 23,728 and 55,432

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Solution

The third proportional to 23,728 and 55,432 is: 129,497.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,728 : 55,432 = 55,432 : x
  2. Step 2: Convert to fraction form
    23,728/55,432 = 55,432/x
  3. Step 3: Cross multiply
    23,728x = 55,432 × 55,432
  4. Step 4: Simplify right side
    23,728x = 3,072,706,624
  5. Step 5: Solve for x
    x = 3,072,706,624/23,728
  6. Step 6: Final answer
    x = 129,497.08

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.