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Finding the Third Proportional to 24,003 and 37,649

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Solution

The third proportional to 24,003 and 37,649 is: 59,052.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,003 : 37,649 = 37,649 : x
  2. Step 2: Convert to fraction form
    24,003/37,649 = 37,649/x
  3. Step 3: Cross multiply
    24,003x = 37,649 × 37,649
  4. Step 4: Simplify right side
    24,003x = 1,417,447,201
  5. Step 5: Solve for x
    x = 1,417,447,201/24,003
  6. Step 6: Final answer
    x = 59,052.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.