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Finding the Third Proportional to 2,897.17 and 6,204.41

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Solution

The third proportional to 2,897.17 and 6,204.41 is: 13,286.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.17 : 6,204.41 = 6,204.41 : x
  2. Step 2: Convert to fraction form
    2,897.17/6,204.41 = 6,204.41/x
  3. Step 3: Cross multiply
    2,897.17x = 6,204.41 × 6,204.41
  4. Step 4: Simplify right side
    2,897.17x = 38,494,705.39
  5. Step 5: Solve for x
    x = 38,494,705.39/2,897.17
  6. Step 6: Final answer
    x = 13,286.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.