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Finding the Third Proportional to 15,129.56 and 31,991.06

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Solution

The third proportional to 15,129.56 and 31,991.06 is: 67,644.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,129.56 : 31,991.06 = 31,991.06 : x
  2. Step 2: Convert to fraction form
    15,129.56/31,991.06 = 31,991.06/x
  3. Step 3: Cross multiply
    15,129.56x = 31,991.06 × 31,991.06
  4. Step 4: Simplify right side
    15,129.56x = 1,023,428,079.88
  5. Step 5: Solve for x
    x = 1,023,428,079.88/15,129.56
  6. Step 6: Final answer
    x = 67,644.26

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.