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Finding the Third Proportional to 2,002.81 and 4,301.88

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Solution

The third proportional to 2,002.81 and 4,301.88 is: 9,240.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.81 : 4,301.88 = 4,301.88 : x
  2. Step 2: Convert to fraction form
    2,002.81/4,301.88 = 4,301.88/x
  3. Step 3: Cross multiply
    2,002.81x = 4,301.88 × 4,301.88
  4. Step 4: Simplify right side
    2,002.81x = 18,506,128.52
  5. Step 5: Solve for x
    x = 18,506,128.52/2,002.81
  6. Step 6: Final answer
    x = 9,240.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.