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Finding the Third Proportional to 11,377.97 and 24,053.20

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Solution

The third proportional to 11,377.97 and 24,053.20 is: 50,848.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,377.97 : 24,053.20 = 24,053.20 : x
  2. Step 2: Convert to fraction form
    11,377.97/24,053.20 = 24,053.20/x
  3. Step 3: Cross multiply
    11,377.97x = 24,053.20 × 24,053.20
  4. Step 4: Simplify right side
    11,377.97x = 578,556,580.57
  5. Step 5: Solve for x
    x = 578,556,580.57/11,377.97
  6. Step 6: Final answer
    x = 50,848.85

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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.