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Finding the Third Proportional to 2,921.91 and 4,381.59

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Solution

The third proportional to 2,921.91 and 4,381.59 is: 6,570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,921.91 : 4,381.59 = 4,381.59 : x
  2. Step 2: Convert to fraction form
    2,921.91/4,381.59 = 4,381.59/x
  3. Step 3: Cross multiply
    2,921.91x = 4,381.59 × 4,381.59
  4. Step 4: Simplify right side
    2,921.91x = 19,198,363.79
  5. Step 5: Solve for x
    x = 19,198,363.79/2,921.91
  6. Step 6: Final answer
    x = 6,570.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.