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Finding the Third Proportional to 8,137.13 and 10,977.19

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Solution

The third proportional to 8,137.13 and 10,977.19 is: 14,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.13 : 10,977.19 = 10,977.19 : x
  2. Step 2: Convert to fraction form
    8,137.13/10,977.19 = 10,977.19/x
  3. Step 3: Cross multiply
    8,137.13x = 10,977.19 × 10,977.19
  4. Step 4: Simplify right side
    8,137.13x = 120,498,645.41
  5. Step 5: Solve for x
    x = 120,498,645.41/8,137.13
  6. Step 6: Final answer
    x = 14,808.50

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.