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Finding the Third Proportional to 1,038 and 2,802

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Solution

The third proportional to 1,038 and 2,802 is: 7,563.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038 : 2,802 = 2,802 : x
  2. Step 2: Convert to fraction form
    1,038/2,802 = 2,802/x
  3. Step 3: Cross multiply
    1,038x = 2,802 × 2,802
  4. Step 4: Simplify right side
    1,038x = 7,851,204
  5. Step 5: Solve for x
    x = 7,851,204/1,038
  6. Step 6: Final answer
    x = 7,563.78

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.