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Finding the Third Proportional to 6,379.17 and 9,346.01

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Solution

The third proportional to 6,379.17 and 9,346.01 is: 13,692.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,379.17 : 9,346.01 = 9,346.01 : x
  2. Step 2: Convert to fraction form
    6,379.17/9,346.01 = 9,346.01/x
  3. Step 3: Cross multiply
    6,379.17x = 9,346.01 × 9,346.01
  4. Step 4: Simplify right side
    6,379.17x = 87,347,862.03
  5. Step 5: Solve for x
    x = 87,347,862.03/6,379.17
  6. Step 6: Final answer
    x = 13,692.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.