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Finding the Third Proportional to 8,410.50 and 13,078.13

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Solution

The third proportional to 8,410.50 and 13,078.13 is: 20,336.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.50 : 13,078.13 = 13,078.13 : x
  2. Step 2: Convert to fraction form
    8,410.50/13,078.13 = 13,078.13/x
  3. Step 3: Cross multiply
    8,410.50x = 13,078.13 × 13,078.13
  4. Step 4: Simplify right side
    8,410.50x = 171,037,353.52
  5. Step 5: Solve for x
    x = 171,037,353.52/8,410.50
  6. Step 6: Final answer
    x = 20,336.17

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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.