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Finding the Third Proportional to 48,432.75 and 65,416.50

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Solution

The third proportional to 48,432.75 and 65,416.50 is: 88,355.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,432.75 : 65,416.50 = 65,416.50 : x
  2. Step 2: Convert to fraction form
    48,432.75/65,416.50 = 65,416.50/x
  3. Step 3: Cross multiply
    48,432.75x = 65,416.50 × 65,416.50
  4. Step 4: Simplify right side
    48,432.75x = 4,279,318,472.25
  5. Step 5: Solve for x
    x = 4,279,318,472.25/48,432.75
  6. Step 6: Final answer
    x = 88,355.88

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.