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Finding the Third Proportional to 24,976 and 37,733

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Solution

The third proportional to 24,976 and 37,733 is: 57,005.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,976 : 37,733 = 37,733 : x
  2. Step 2: Convert to fraction form
    24,976/37,733 = 37,733/x
  3. Step 3: Cross multiply
    24,976x = 37,733 × 37,733
  4. Step 4: Simplify right side
    24,976x = 1,423,779,289
  5. Step 5: Solve for x
    x = 1,423,779,289/24,976
  6. Step 6: Final answer
    x = 57,005.90

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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.