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Finding the Third Proportional to 6,496 and 12,703

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Solution

The third proportional to 6,496 and 12,703 is: 24,840.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496 : 12,703 = 12,703 : x
  2. Step 2: Convert to fraction form
    6,496/12,703 = 12,703/x
  3. Step 3: Cross multiply
    6,496x = 12,703 × 12,703
  4. Step 4: Simplify right side
    6,496x = 161,366,209
  5. Step 5: Solve for x
    x = 161,366,209/6,496
  6. Step 6: Final answer
    x = 24,840.86

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.