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Finding the Third Proportional to 8,265 and 12,565.50

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Solution

The third proportional to 8,265 and 12,565.50 is: 19,103.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265 : 12,565.50 = 12,565.50 : x
  2. Step 2: Convert to fraction form
    8,265/12,565.50 = 12,565.50/x
  3. Step 3: Cross multiply
    8,265x = 12,565.50 × 12,565.50
  4. Step 4: Simplify right side
    8,265x = 157,891,790.25
  5. Step 5: Solve for x
    x = 157,891,790.25/8,265
  6. Step 6: Final answer
    x = 19,103.66

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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.