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Finding the Third Proportional to 13,002.75 and 19,261.13

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Solution

The third proportional to 13,002.75 and 19,261.13 is: 28,531.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.75 : 19,261.13 = 19,261.13 : x
  2. Step 2: Convert to fraction form
    13,002.75/19,261.13 = 19,261.13/x
  3. Step 3: Cross multiply
    13,002.75x = 19,261.13 × 19,261.13
  4. Step 4: Simplify right side
    13,002.75x = 370,990,936.27
  5. Step 5: Solve for x
    x = 370,990,936.27/13,002.75
  6. Step 6: Final answer
    x = 28,531.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.