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Finding the Third Proportional to 8,290.50 and 12,856.13

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Solution

The third proportional to 8,290.50 and 12,856.13 is: 19,936.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.50 : 12,856.13 = 12,856.13 : x
  2. Step 2: Convert to fraction form
    8,290.50/12,856.13 = 12,856.13/x
  3. Step 3: Cross multiply
    8,290.50x = 12,856.13 × 12,856.13
  4. Step 4: Simplify right side
    8,290.50x = 165,279,950.02
  5. Step 5: Solve for x
    x = 165,279,950.02/8,290.50
  6. Step 6: Final answer
    x = 19,936.07

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