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Finding the Third Proportional to 9,648 and 10,488

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Solution

The third proportional to 9,648 and 10,488 is: 11,401.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648 : 10,488 = 10,488 : x
  2. Step 2: Convert to fraction form
    9,648/10,488 = 10,488/x
  3. Step 3: Cross multiply
    9,648x = 10,488 × 10,488
  4. Step 4: Simplify right side
    9,648x = 109,998,144
  5. Step 5: Solve for x
    x = 109,998,144/9,648
  6. Step 6: Final answer
    x = 11,401.13

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.