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Finding the Third Proportional to 24,682.78 and 37,242.28

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Solution

The third proportional to 24,682.78 and 37,242.28 is: 56,192.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,682.78 : 37,242.28 = 37,242.28 : x
  2. Step 2: Convert to fraction form
    24,682.78/37,242.28 = 37,242.28/x
  3. Step 3: Cross multiply
    24,682.78x = 37,242.28 × 37,242.28
  4. Step 4: Simplify right side
    24,682.78x = 1,386,987,512.70
  5. Step 5: Solve for x
    x = 1,386,987,512.70/24,682.78
  6. Step 6: Final answer
    x = 56,192.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.