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Finding the Third Proportional to 8,272.13 and 19,462.78

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Solution

The third proportional to 8,272.13 and 19,462.78 is: 45,792.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.13 : 19,462.78 = 19,462.78 : x
  2. Step 2: Convert to fraction form
    8,272.13/19,462.78 = 19,462.78/x
  3. Step 3: Cross multiply
    8,272.13x = 19,462.78 × 19,462.78
  4. Step 4: Simplify right side
    8,272.13x = 378,799,853.99
  5. Step 5: Solve for x
    x = 378,799,853.99/8,272.13
  6. Step 6: Final answer
    x = 45,792.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.