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Finding the Third Proportional to 6,404 and 9,704

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Solution

The third proportional to 6,404 and 9,704 is: 14,704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404 : 9,704 = 9,704 : x
  2. Step 2: Convert to fraction form
    6,404/9,704 = 9,704/x
  3. Step 3: Cross multiply
    6,404x = 9,704 × 9,704
  4. Step 4: Simplify right side
    6,404x = 94,167,616
  5. Step 5: Solve for x
    x = 94,167,616/6,404
  6. Step 6: Final answer
    x = 14,704.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.