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Finding the Third Proportional to 2,921.17 and 6,337.83

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Solution

The third proportional to 2,921.17 and 6,337.83 is: 13,750.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921.17 : 6,337.83 = 6,337.83 : x
  2. Step 2: Convert to fraction form
    2,921.17/6,337.83 = 6,337.83/x
  3. Step 3: Cross multiply
    2,921.17x = 6,337.83 × 6,337.83
  4. Step 4: Simplify right side
    2,921.17x = 40,168,065.34
  5. Step 5: Solve for x
    x = 40,168,065.34/2,921.17
  6. Step 6: Final answer
    x = 13,750.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.