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Finding the Third Proportional to 48,416.75 and 66,007.25

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Solution

The third proportional to 48,416.75 and 66,007.25 is: 89,988.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,416.75 : 66,007.25 = 66,007.25 : x
  2. Step 2: Convert to fraction form
    48,416.75/66,007.25 = 66,007.25/x
  3. Step 3: Cross multiply
    48,416.75x = 66,007.25 × 66,007.25
  4. Step 4: Simplify right side
    48,416.75x = 4,356,957,052.56
  5. Step 5: Solve for x
    x = 4,356,957,052.56/48,416.75
  6. Step 6: Final answer
    x = 89,988.63

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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.