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Finding the Third Proportional to 15,200 and 31,612

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Solution

The third proportional to 15,200 and 31,612 is: 65,744.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,200 : 31,612 = 31,612 : x
  2. Step 2: Convert to fraction form
    15,200/31,612 = 31,612/x
  3. Step 3: Cross multiply
    15,200x = 31,612 × 31,612
  4. Step 4: Simplify right side
    15,200x = 999,318,544
  5. Step 5: Solve for x
    x = 999,318,544/15,200
  6. Step 6: Final answer
    x = 65,744.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.