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Finding the Third Proportional to 24,045 and 37,719

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Solution

The third proportional to 24,045 and 37,719 is: 59,169.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,045 : 37,719 = 37,719 : x
  2. Step 2: Convert to fraction form
    24,045/37,719 = 37,719/x
  3. Step 3: Cross multiply
    24,045x = 37,719 × 37,719
  4. Step 4: Simplify right side
    24,045x = 1,422,722,961
  5. Step 5: Solve for x
    x = 1,422,722,961/24,045
  6. Step 6: Final answer
    x = 59,169.18

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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.