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Finding the Third Proportional to 2,897.25 and 6,339

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Solution

The third proportional to 2,897.25 and 6,339 is: 13,869.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.25 : 6,339 = 6,339 : x
  2. Step 2: Convert to fraction form
    2,897.25/6,339 = 6,339/x
  3. Step 3: Cross multiply
    2,897.25x = 6,339 × 6,339
  4. Step 4: Simplify right side
    2,897.25x = 40,182,921
  5. Step 5: Solve for x
    x = 40,182,921/2,897.25
  6. Step 6: Final answer
    x = 13,869.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.