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Finding the Third Proportional to 37,489 and 58,026

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Solution

The third proportional to 37,489 and 58,026 is: 89,813.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,489 : 58,026 = 58,026 : x
  2. Step 2: Convert to fraction form
    37,489/58,026 = 58,026/x
  3. Step 3: Cross multiply
    37,489x = 58,026 × 58,026
  4. Step 4: Simplify right side
    37,489x = 3,367,016,676
  5. Step 5: Solve for x
    x = 3,367,016,676/37,489
  6. Step 6: Final answer
    x = 89,813.46

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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.