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Finding the Third Proportional to 8,625.76 and 13,138.03

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Solution

The third proportional to 8,625.76 and 13,138.03 is: 20,010.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,625.76 : 13,138.03 = 13,138.03 : x
  2. Step 2: Convert to fraction form
    8,625.76/13,138.03 = 13,138.03/x
  3. Step 3: Cross multiply
    8,625.76x = 13,138.03 × 13,138.03
  4. Step 4: Simplify right side
    8,625.76x = 172,607,865.13
  5. Step 5: Solve for x
    x = 172,607,865.13/8,625.76
  6. Step 6: Final answer
    x = 20,010.74

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.