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Finding the Third Proportional to 37,520 and 58,079

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Solution

The third proportional to 37,520 and 58,079 is: 89,903.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,520 : 58,079 = 58,079 : x
  2. Step 2: Convert to fraction form
    37,520/58,079 = 58,079/x
  3. Step 3: Cross multiply
    37,520x = 58,079 × 58,079
  4. Step 4: Simplify right side
    37,520x = 3,373,170,241
  5. Step 5: Solve for x
    x = 3,373,170,241/37,520
  6. Step 6: Final answer
    x = 89,903.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.