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Finding the Third Proportional to 38,599.50 and 58,314

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Solution

The third proportional to 38,599.50 and 58,314 is: 88,097.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,599.50 : 58,314 = 58,314 : x
  2. Step 2: Convert to fraction form
    38,599.50/58,314 = 58,314/x
  3. Step 3: Cross multiply
    38,599.50x = 58,314 × 58,314
  4. Step 4: Simplify right side
    38,599.50x = 3,400,522,596
  5. Step 5: Solve for x
    x = 3,400,522,596/38,599.50
  6. Step 6: Final answer
    x = 88,097.58

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