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Finding the Third Proportional to 27,031 and 40,506

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Solution

The third proportional to 27,031 and 40,506 is: 60,698.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,031 : 40,506 = 40,506 : x
  2. Step 2: Convert to fraction form
    27,031/40,506 = 40,506/x
  3. Step 3: Cross multiply
    27,031x = 40,506 × 40,506
  4. Step 4: Simplify right side
    27,031x = 1,640,736,036
  5. Step 5: Solve for x
    x = 1,640,736,036/27,031
  6. Step 6: Final answer
    x = 60,698.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.