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Finding the Third Proportional to 13,015.13 and 19,486.13

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Solution

The third proportional to 13,015.13 and 19,486.13 is: 29,174.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.13 : 19,486.13 = 19,486.13 : x
  2. Step 2: Convert to fraction form
    13,015.13/19,486.13 = 19,486.13/x
  3. Step 3: Cross multiply
    13,015.13x = 19,486.13 × 19,486.13
  4. Step 4: Simplify right side
    13,015.13x = 379,709,067.52
  5. Step 5: Solve for x
    x = 379,709,067.52/13,015.13
  6. Step 6: Final answer
    x = 29,174.45

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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.