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Finding the Third Proportional to 2,345 and 2,714

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Solution

The third proportional to 2,345 and 2,714 is: 3,141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345 : 2,714 = 2,714 : x
  2. Step 2: Convert to fraction form
    2,345/2,714 = 2,714/x
  3. Step 3: Cross multiply
    2,345x = 2,714 × 2,714
  4. Step 4: Simplify right side
    2,345x = 7,365,796
  5. Step 5: Solve for x
    x = 7,365,796/2,345
  6. Step 6: Final answer
    x = 3,141.06

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.