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Finding the Third Proportional to 41,023 and 87,733

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Solution

The third proportional to 41,023 and 87,733 is: 187,628.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,023 : 87,733 = 87,733 : x
  2. Step 2: Convert to fraction form
    41,023/87,733 = 87,733/x
  3. Step 3: Cross multiply
    41,023x = 87,733 × 87,733
  4. Step 4: Simplify right side
    41,023x = 7,697,079,289
  5. Step 5: Solve for x
    x = 7,697,079,289/41,023
  6. Step 6: Final answer
    x = 187,628.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.