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Finding the Third Proportional to 5,498 and 13,289

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Solution

The third proportional to 5,498 and 13,289 is: 32,120.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498 : 13,289 = 13,289 : x
  2. Step 2: Convert to fraction form
    5,498/13,289 = 13,289/x
  3. Step 3: Cross multiply
    5,498x = 13,289 × 13,289
  4. Step 4: Simplify right side
    5,498x = 176,597,521
  5. Step 5: Solve for x
    x = 176,597,521/5,498
  6. Step 6: Final answer
    x = 32,120.32

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.