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Finding the Third Proportional to 41,031 and 58,673

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Solution

The third proportional to 41,031 and 58,673 is: 83,900.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,031 : 58,673 = 58,673 : x
  2. Step 2: Convert to fraction form
    41,031/58,673 = 58,673/x
  3. Step 3: Cross multiply
    41,031x = 58,673 × 58,673
  4. Step 4: Simplify right side
    41,031x = 3,442,520,929
  5. Step 5: Solve for x
    x = 3,442,520,929/41,031
  6. Step 6: Final answer
    x = 83,900.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.