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Finding the Third Proportional to 8,408.81 and 13,023.28

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Solution

The third proportional to 8,408.81 and 13,023.28 is: 20,170.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.81 : 13,023.28 = 13,023.28 : x
  2. Step 2: Convert to fraction form
    8,408.81/13,023.28 = 13,023.28/x
  3. Step 3: Cross multiply
    8,408.81x = 13,023.28 × 13,023.28
  4. Step 4: Simplify right side
    8,408.81x = 169,605,854.52
  5. Step 5: Solve for x
    x = 169,605,854.52/8,408.81
  6. Step 6: Final answer
    x = 20,170.01

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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.