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Finding the Third Proportional to 8,173.13 and 12,578.06

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Solution

The third proportional to 8,173.13 and 12,578.06 is: 19,357.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,173.13 : 12,578.06 = 12,578.06 : x
  2. Step 2: Convert to fraction form
    8,173.13/12,578.06 = 12,578.06/x
  3. Step 3: Cross multiply
    8,173.13x = 12,578.06 × 12,578.06
  4. Step 4: Simplify right side
    8,173.13x = 158,207,656.25
  5. Step 5: Solve for x
    x = 158,207,656.25/8,173.13
  6. Step 6: Final answer
    x = 19,357.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.