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Finding the Third Proportional to 6,407 and 7,007

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Solution

The third proportional to 6,407 and 7,007 is: 7,663.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407 : 7,007 = 7,007 : x
  2. Step 2: Convert to fraction form
    6,407/7,007 = 7,007/x
  3. Step 3: Cross multiply
    6,407x = 7,007 × 7,007
  4. Step 4: Simplify right side
    6,407x = 49,098,049
  5. Step 5: Solve for x
    x = 49,098,049/6,407
  6. Step 6: Final answer
    x = 7,663.19

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.