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Finding the Third Proportional to 8,768 and 10,400

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Solution

The third proportional to 8,768 and 10,400 is: 12,335.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,768 : 10,400 = 10,400 : x
  2. Step 2: Convert to fraction form
    8,768/10,400 = 10,400/x
  3. Step 3: Cross multiply
    8,768x = 10,400 × 10,400
  4. Step 4: Simplify right side
    8,768x = 108,160,000
  5. Step 5: Solve for x
    x = 108,160,000/8,768
  6. Step 6: Final answer
    x = 12,335.77

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These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.