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Finding the Third Proportional to 12,799.13 and 19,377.56

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Solution

The third proportional to 12,799.13 and 19,377.56 is: 29,337.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,799.13 : 19,377.56 = 19,377.56 : x
  2. Step 2: Convert to fraction form
    12,799.13/19,377.56 = 19,377.56/x
  3. Step 3: Cross multiply
    12,799.13x = 19,377.56 × 19,377.56
  4. Step 4: Simplify right side
    12,799.13x = 375,489,928.44
  5. Step 5: Solve for x
    x = 375,489,928.44/12,799.13
  6. Step 6: Final answer
    x = 29,337.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.