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Finding the Third Proportional to 24,452.75 and 52,135.13

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Solution

The third proportional to 24,452.75 and 52,135.13 is: 111,156.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,452.75 : 52,135.13 = 52,135.13 : x
  2. Step 2: Convert to fraction form
    24,452.75/52,135.13 = 52,135.13/x
  3. Step 3: Cross multiply
    24,452.75x = 52,135.13 × 52,135.13
  4. Step 4: Simplify right side
    24,452.75x = 2,718,071,258.77
  5. Step 5: Solve for x
    x = 2,718,071,258.77/24,452.75
  6. Step 6: Final answer
    x = 111,156.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.