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Finding the Third Proportional to 24,102.56 and 52,260.19

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Solution

The third proportional to 24,102.56 and 52,260.19 is: 113,312.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,102.56 : 52,260.19 = 52,260.19 : x
  2. Step 2: Convert to fraction form
    24,102.56/52,260.19 = 52,260.19/x
  3. Step 3: Cross multiply
    24,102.56x = 52,260.19 × 52,260.19
  4. Step 4: Simplify right side
    24,102.56x = 2,731,127,197.54
  5. Step 5: Solve for x
    x = 2,731,127,197.54/24,102.56
  6. Step 6: Final answer
    x = 113,312.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.