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Finding the Third Proportional to 24,650 and 37,886

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Solution

The third proportional to 24,650 and 37,886 is: 58,229.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,650 : 37,886 = 37,886 : x
  2. Step 2: Convert to fraction form
    24,650/37,886 = 37,886/x
  3. Step 3: Cross multiply
    24,650x = 37,886 × 37,886
  4. Step 4: Simplify right side
    24,650x = 1,435,348,996
  5. Step 5: Solve for x
    x = 1,435,348,996/24,650
  6. Step 6: Final answer
    x = 58,229.17

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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.