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Finding the Third Proportional to 24,581.81 and 52,668.56

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Solution

The third proportional to 24,581.81 and 52,668.56 is: 112,846.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,581.81 : 52,668.56 = 52,668.56 : x
  2. Step 2: Convert to fraction form
    24,581.81/52,668.56 = 52,668.56/x
  3. Step 3: Cross multiply
    24,581.81x = 52,668.56 × 52,668.56
  4. Step 4: Simplify right side
    24,581.81x = 2,773,977,475.82
  5. Step 5: Solve for x
    x = 2,773,977,475.82/24,581.81
  6. Step 6: Final answer
    x = 112,846.74

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.