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Finding the Third Proportional to 2,882.38 and 4,407.13

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Solution

The third proportional to 2,882.38 and 4,407.13 is: 6,738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882.38 : 4,407.13 = 4,407.13 : x
  2. Step 2: Convert to fraction form
    2,882.38/4,407.13 = 4,407.13/x
  3. Step 3: Cross multiply
    2,882.38x = 4,407.13 × 4,407.13
  4. Step 4: Simplify right side
    2,882.38x = 19,422,750.77
  5. Step 5: Solve for x
    x = 19,422,750.77/2,882.38
  6. Step 6: Final answer
    x = 6,738.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.