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Finding the Third Proportional to 11,562.12 and 24,764.48

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Solution

The third proportional to 11,562.12 and 24,764.48 is: 53,042.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.12 : 24,764.48 = 24,764.48 : x
  2. Step 2: Convert to fraction form
    11,562.12/24,764.48 = 24,764.48/x
  3. Step 3: Cross multiply
    11,562.12x = 24,764.48 × 24,764.48
  4. Step 4: Simplify right side
    11,562.12x = 613,279,686.36
  5. Step 5: Solve for x
    x = 613,279,686.36/11,562.12
  6. Step 6: Final answer
    x = 53,042.16

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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.