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Finding the Third Proportional to 15,930 and 37,631.25

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Solution

The third proportional to 15,930 and 37,631.25 is: 88,895.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,930 : 37,631.25 = 37,631.25 : x
  2. Step 2: Convert to fraction form
    15,930/37,631.25 = 37,631.25/x
  3. Step 3: Cross multiply
    15,930x = 37,631.25 × 37,631.25
  4. Step 4: Simplify right side
    15,930x = 1,416,110,976.56
  5. Step 5: Solve for x
    x = 1,416,110,976.56/15,930
  6. Step 6: Final answer
    x = 88,895.86

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.