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Finding the Third Proportional to 13,425.75 and 17,280.84

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Solution

The third proportional to 13,425.75 and 17,280.84 is: 22,242.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,425.75 : 17,280.84 = 17,280.84 : x
  2. Step 2: Convert to fraction form
    13,425.75/17,280.84 = 17,280.84/x
  3. Step 3: Cross multiply
    13,425.75x = 17,280.84 × 17,280.84
  4. Step 4: Simplify right side
    13,425.75x = 298,627,560.71
  5. Step 5: Solve for x
    x = 298,627,560.71/13,425.75
  6. Step 6: Final answer
    x = 22,242.90

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.