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Finding the Third Proportional to 9,159 and 13,701.75

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Solution

The third proportional to 9,159 and 13,701.75 is: 20,497.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159 : 13,701.75 = 13,701.75 : x
  2. Step 2: Convert to fraction form
    9,159/13,701.75 = 13,701.75/x
  3. Step 3: Cross multiply
    9,159x = 13,701.75 × 13,701.75
  4. Step 4: Simplify right side
    9,159x = 187,737,953.06
  5. Step 5: Solve for x
    x = 187,737,953.06/9,159
  6. Step 6: Final answer
    x = 20,497.65

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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.