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Finding the Third Proportional to 2,469 and 2,709

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Solution

The third proportional to 2,469 and 2,709 is: 2,972.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469 : 2,709 = 2,709 : x
  2. Step 2: Convert to fraction form
    2,469/2,709 = 2,709/x
  3. Step 3: Cross multiply
    2,469x = 2,709 × 2,709
  4. Step 4: Simplify right side
    2,469x = 7,338,681
  5. Step 5: Solve for x
    x = 7,338,681/2,469
  6. Step 6: Final answer
    x = 2,972.33

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.