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Finding the Third Proportional to 38,816 and 58,551

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Solution

The third proportional to 38,816 and 58,551 is: 88,319.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,816 : 58,551 = 58,551 : x
  2. Step 2: Convert to fraction form
    38,816/58,551 = 58,551/x
  3. Step 3: Cross multiply
    38,816x = 58,551 × 58,551
  4. Step 4: Simplify right side
    38,816x = 3,428,219,601
  5. Step 5: Solve for x
    x = 3,428,219,601/38,816
  6. Step 6: Final answer
    x = 88,319.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.