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Finding the Third Proportional to 24,507.56 and 53,687.81

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Solution

The third proportional to 24,507.56 and 53,687.81 is: 117,611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,507.56 : 53,687.81 = 53,687.81 : x
  2. Step 2: Convert to fraction form
    24,507.56/53,687.81 = 53,687.81/x
  3. Step 3: Cross multiply
    24,507.56x = 53,687.81 × 53,687.81
  4. Step 4: Simplify right side
    24,507.56x = 2,882,381,211.04
  5. Step 5: Solve for x
    x = 2,882,381,211.04/24,507.56
  6. Step 6: Final answer
    x = 117,611.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.