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Finding the Third Proportional to 6,134 and 9,565.50

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Solution

The third proportional to 6,134 and 9,565.50 is: 14,916.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134 : 9,565.50 = 9,565.50 : x
  2. Step 2: Convert to fraction form
    6,134/9,565.50 = 9,565.50/x
  3. Step 3: Cross multiply
    6,134x = 9,565.50 × 9,565.50
  4. Step 4: Simplify right side
    6,134x = 91,498,790.25
  5. Step 5: Solve for x
    x = 91,498,790.25/6,134
  6. Step 6: Final answer
    x = 14,916.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.