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Finding the Third Proportional to 24,107 and 37,079

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Solution

The third proportional to 24,107 and 37,079 is: 57,031.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,107 : 37,079 = 37,079 : x
  2. Step 2: Convert to fraction form
    24,107/37,079 = 37,079/x
  3. Step 3: Cross multiply
    24,107x = 37,079 × 37,079
  4. Step 4: Simplify right side
    24,107x = 1,374,852,241
  5. Step 5: Solve for x
    x = 1,374,852,241/24,107
  6. Step 6: Final answer
    x = 57,031.25

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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.