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Finding the Third Proportional to 8,768 and 9,648

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Solution

The third proportional to 8,768 and 9,648 is: 10,616.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,768 : 9,648 = 9,648 : x
  2. Step 2: Convert to fraction form
    8,768/9,648 = 9,648/x
  3. Step 3: Cross multiply
    8,768x = 9,648 × 9,648
  4. Step 4: Simplify right side
    8,768x = 93,083,904
  5. Step 5: Solve for x
    x = 93,083,904/8,768
  6. Step 6: Final answer
    x = 10,616.32

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.