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Finding the Third Proportional to 24,158.25 and 36,092.25

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Solution

The third proportional to 24,158.25 and 36,092.25 is: 53,921.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,158.25 : 36,092.25 = 36,092.25 : x
  2. Step 2: Convert to fraction form
    24,158.25/36,092.25 = 36,092.25/x
  3. Step 3: Cross multiply
    24,158.25x = 36,092.25 × 36,092.25
  4. Step 4: Simplify right side
    24,158.25x = 1,302,650,510.06
  5. Step 5: Solve for x
    x = 1,302,650,510.06/24,158.25
  6. Step 6: Final answer
    x = 53,921.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.