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Finding the Third Proportional to 9,171.14 and 13,776.96

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Solution

The third proportional to 9,171.14 and 13,776.96 is: 20,695.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.14 : 13,776.96 = 13,776.96 : x
  2. Step 2: Convert to fraction form
    9,171.14/13,776.96 = 13,776.96/x
  3. Step 3: Cross multiply
    9,171.14x = 13,776.96 × 13,776.96
  4. Step 4: Simplify right side
    9,171.14x = 189,804,652.67
  5. Step 5: Solve for x
    x = 189,804,652.67/9,171.14
  6. Step 6: Final answer
    x = 20,695.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.