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Finding the Third Proportional to 9,520.88 and 12,587.06

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Solution

The third proportional to 9,520.88 and 12,587.06 is: 16,640.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,520.88 : 12,587.06 = 12,587.06 : x
  2. Step 2: Convert to fraction form
    9,520.88/12,587.06 = 12,587.06/x
  3. Step 3: Cross multiply
    9,520.88x = 12,587.06 × 12,587.06
  4. Step 4: Simplify right side
    9,520.88x = 158,434,142.38
  5. Step 5: Solve for x
    x = 158,434,142.38/9,520.88
  6. Step 6: Final answer
    x = 16,640.71

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.