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Finding the Third Proportional to 48,432 and 75,456

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Solution

The third proportional to 48,432 and 75,456 is: 117,558.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,432 : 75,456 = 75,456 : x
  2. Step 2: Convert to fraction form
    48,432/75,456 = 75,456/x
  3. Step 3: Cross multiply
    48,432x = 75,456 × 75,456
  4. Step 4: Simplify right side
    48,432x = 5,693,607,936
  5. Step 5: Solve for x
    x = 5,693,607,936/48,432
  6. Step 6: Final answer
    x = 117,558.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.