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Finding the Third Proportional to 8,176.13 and 12,657.38

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Solution

The third proportional to 8,176.13 and 12,657.38 is: 19,594.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.13 : 12,657.38 = 12,657.38 : x
  2. Step 2: Convert to fraction form
    8,176.13/12,657.38 = 12,657.38/x
  3. Step 3: Cross multiply
    8,176.13x = 12,657.38 × 12,657.38
  4. Step 4: Simplify right side
    8,176.13x = 160,209,141.89
  5. Step 5: Solve for x
    x = 160,209,141.89/8,176.13
  6. Step 6: Final answer
    x = 19,594.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.