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Finding the Third Proportional to 24,596 and 37,982

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Solution

The third proportional to 24,596 and 37,982 is: 58,653.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,596 : 37,982 = 37,982 : x
  2. Step 2: Convert to fraction form
    24,596/37,982 = 37,982/x
  3. Step 3: Cross multiply
    24,596x = 37,982 × 37,982
  4. Step 4: Simplify right side
    24,596x = 1,442,632,324
  5. Step 5: Solve for x
    x = 1,442,632,324/24,596
  6. Step 6: Final answer
    x = 58,653.13

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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.