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Finding the Third Proportional to 2,309 and 3,714

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Solution

The third proportional to 2,309 and 3,714 is: 5,973.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309 : 3,714 = 3,714 : x
  2. Step 2: Convert to fraction form
    2,309/3,714 = 3,714/x
  3. Step 3: Cross multiply
    2,309x = 3,714 × 3,714
  4. Step 4: Simplify right side
    2,309x = 13,793,796
  5. Step 5: Solve for x
    x = 13,793,796/2,309
  6. Step 6: Final answer
    x = 5,973.93

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.