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Finding the Third Proportional to 48,432 and 65,736

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Solution

The third proportional to 48,432 and 65,736 is: 89,222.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,432 : 65,736 = 65,736 : x
  2. Step 2: Convert to fraction form
    48,432/65,736 = 65,736/x
  3. Step 3: Cross multiply
    48,432x = 65,736 × 65,736
  4. Step 4: Simplify right side
    48,432x = 4,321,221,696
  5. Step 5: Solve for x
    x = 4,321,221,696/48,432
  6. Step 6: Final answer
    x = 89,222.45

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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.