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Finding the Third Proportional to 15,901.31 and 27,081.84

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Solution

The third proportional to 15,901.31 and 27,081.84 is: 46,123.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,901.31 : 27,081.84 = 27,081.84 : x
  2. Step 2: Convert to fraction form
    15,901.31/27,081.84 = 27,081.84/x
  3. Step 3: Cross multiply
    15,901.31x = 27,081.84 × 27,081.84
  4. Step 4: Simplify right side
    15,901.31x = 733,426,260.90
  5. Step 5: Solve for x
    x = 733,426,260.90/15,901.31
  6. Step 6: Final answer
    x = 46,123.63

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.