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Finding the Third Proportional to 9,603 and 10,332

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Solution

The third proportional to 9,603 and 10,332 is: 11,116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603 : 10,332 = 10,332 : x
  2. Step 2: Convert to fraction form
    9,603/10,332 = 10,332/x
  3. Step 3: Cross multiply
    9,603x = 10,332 × 10,332
  4. Step 4: Simplify right side
    9,603x = 106,750,224
  5. Step 5: Solve for x
    x = 106,750,224/9,603
  6. Step 6: Final answer
    x = 11,116.34

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.