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Finding the Third Proportional to 3,114 and 6,737

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Solution

The third proportional to 3,114 and 6,737 is: 14,575.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114 : 6,737 = 6,737 : x
  2. Step 2: Convert to fraction form
    3,114/6,737 = 6,737/x
  3. Step 3: Cross multiply
    3,114x = 6,737 × 6,737
  4. Step 4: Simplify right side
    3,114x = 45,387,169
  5. Step 5: Solve for x
    x = 45,387,169/3,114
  6. Step 6: Final answer
    x = 14,575.20

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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.