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Finding the Third Proportional to 24,114.38 and 37,087.88

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Solution

The third proportional to 24,114.38 and 37,087.88 is: 57,041.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,114.38 : 37,087.88 = 37,087.88 : x
  2. Step 2: Convert to fraction form
    24,114.38/37,087.88 = 37,087.88/x
  3. Step 3: Cross multiply
    24,114.38x = 37,087.88 × 37,087.88
  4. Step 4: Simplify right side
    24,114.38x = 1,375,510,472.02
  5. Step 5: Solve for x
    x = 1,375,510,472.02/24,114.38
  6. Step 6: Final answer
    x = 57,041.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.