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Finding the Third Proportional to 1,402.03 and 2,177.02

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Solution

The third proportional to 1,402.03 and 2,177.02 is: 3,380.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.03 : 2,177.02 = 2,177.02 : x
  2. Step 2: Convert to fraction form
    1,402.03/2,177.02 = 2,177.02/x
  3. Step 3: Cross multiply
    1,402.03x = 2,177.02 × 2,177.02
  4. Step 4: Simplify right side
    1,402.03x = 4,739,397.03
  5. Step 5: Solve for x
    x = 4,739,397.03/1,402.03
  6. Step 6: Final answer
    x = 3,380.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.