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Finding the Third Proportional to 2,649 and 5,709

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Solution

The third proportional to 2,649 and 5,709 is: 12,303.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649 : 5,709 = 5,709 : x
  2. Step 2: Convert to fraction form
    2,649/5,709 = 5,709/x
  3. Step 3: Cross multiply
    2,649x = 5,709 × 5,709
  4. Step 4: Simplify right side
    2,649x = 32,592,681
  5. Step 5: Solve for x
    x = 32,592,681/2,649
  6. Step 6: Final answer
    x = 12,303.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.