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Finding the Third Proportional to 1,337.34 and 2,982.02

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Solution

The third proportional to 1,337.34 and 2,982.02 is: 6,649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.34 : 2,982.02 = 2,982.02 : x
  2. Step 2: Convert to fraction form
    1,337.34/2,982.02 = 2,982.02/x
  3. Step 3: Cross multiply
    1,337.34x = 2,982.02 × 2,982.02
  4. Step 4: Simplify right side
    1,337.34x = 8,892,463.78
  5. Step 5: Solve for x
    x = 8,892,463.78/1,337.34
  6. Step 6: Final answer
    x = 6,649.35

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.