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Finding the Third Proportional to 1,420.27 and 3,037.97

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Solution

The third proportional to 1,420.27 and 3,037.97 is: 6,498.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.27 : 3,037.97 = 3,037.97 : x
  2. Step 2: Convert to fraction form
    1,420.27/3,037.97 = 3,037.97/x
  3. Step 3: Cross multiply
    1,420.27x = 3,037.97 × 3,037.97
  4. Step 4: Simplify right side
    1,420.27x = 9,229,254.13
  5. Step 5: Solve for x
    x = 9,229,254.13/1,420.27
  6. Step 6: Final answer
    x = 6,498.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.