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Finding the Third Proportional to 24,095.13 and 52,212.31

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Solution

The third proportional to 24,095.13 and 52,212.31 is: 113,140.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,095.13 : 52,212.31 = 52,212.31 : x
  2. Step 2: Convert to fraction form
    24,095.13/52,212.31 = 52,212.31/x
  3. Step 3: Cross multiply
    24,095.13x = 52,212.31 × 52,212.31
  4. Step 4: Simplify right side
    24,095.13x = 2,726,125,576.60
  5. Step 5: Solve for x
    x = 2,726,125,576.60/24,095.13
  6. Step 6: Final answer
    x = 113,140.13

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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.