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Finding the Third Proportional to 36,466 and 75,462

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Solution

The third proportional to 36,466 and 75,462 is: 156,159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,466 : 75,462 = 75,462 : x
  2. Step 2: Convert to fraction form
    36,466/75,462 = 75,462/x
  3. Step 3: Cross multiply
    36,466x = 75,462 × 75,462
  4. Step 4: Simplify right side
    36,466x = 5,694,513,444
  5. Step 5: Solve for x
    x = 5,694,513,444/36,466
  6. Step 6: Final answer
    x = 156,159.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.