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Finding the Third Proportional to 7,704 and 10,008

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Solution

The third proportional to 7,704 and 10,008 is: 13,001.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704 : 10,008 = 10,008 : x
  2. Step 2: Convert to fraction form
    7,704/10,008 = 10,008/x
  3. Step 3: Cross multiply
    7,704x = 10,008 × 10,008
  4. Step 4: Simplify right side
    7,704x = 100,160,064
  5. Step 5: Solve for x
    x = 100,160,064/7,704
  6. Step 6: Final answer
    x = 13,001.05

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.