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Finding the Third Proportional to 8,508.80 and 11,026.13

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Solution

The third proportional to 8,508.80 and 11,026.13 is: 14,288.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,508.80 : 11,026.13 = 11,026.13 : x
  2. Step 2: Convert to fraction form
    8,508.80/11,026.13 = 11,026.13/x
  3. Step 3: Cross multiply
    8,508.80x = 11,026.13 × 11,026.13
  4. Step 4: Simplify right side
    8,508.80x = 121,575,432.52
  5. Step 5: Solve for x
    x = 121,575,432.52/8,508.80
  6. Step 6: Final answer
    x = 14,288.20

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.