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Finding the Third Proportional to 1,420.31 and 3,097.13

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Solution

The third proportional to 1,420.31 and 3,097.13 is: 6,753.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.31 : 3,097.13 = 3,097.13 : x
  2. Step 2: Convert to fraction form
    1,420.31/3,097.13 = 3,097.13/x
  3. Step 3: Cross multiply
    1,420.31x = 3,097.13 × 3,097.13
  4. Step 4: Simplify right side
    1,420.31x = 9,592,183.27
  5. Step 5: Solve for x
    x = 9,592,183.27/1,420.31
  6. Step 6: Final answer
    x = 6,753.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.