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Finding the Third Proportional to 13,039 and 17,290

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Solution

The third proportional to 13,039 and 17,290 is: 22,926.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,039 : 17,290 = 17,290 : x
  2. Step 2: Convert to fraction form
    13,039/17,290 = 17,290/x
  3. Step 3: Cross multiply
    13,039x = 17,290 × 17,290
  4. Step 4: Simplify right side
    13,039x = 298,944,100
  5. Step 5: Solve for x
    x = 298,944,100/13,039
  6. Step 6: Final answer
    x = 22,926.92

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.