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Finding the Third Proportional to 24,292.41 and 35,508.38

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Solution

The third proportional to 24,292.41 and 35,508.38 is: 51,902.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,292.41 : 35,508.38 = 35,508.38 : x
  2. Step 2: Convert to fraction form
    24,292.41/35,508.38 = 35,508.38/x
  3. Step 3: Cross multiply
    24,292.41x = 35,508.38 × 35,508.38
  4. Step 4: Simplify right side
    24,292.41x = 1,260,844,695.14
  5. Step 5: Solve for x
    x = 1,260,844,695.14/24,292.41
  6. Step 6: Final answer
    x = 51,902.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.