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Finding the Third Proportional to 9,520 and 10,352

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Solution

The third proportional to 9,520 and 10,352 is: 11,256.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,520 : 10,352 = 10,352 : x
  2. Step 2: Convert to fraction form
    9,520/10,352 = 10,352/x
  3. Step 3: Cross multiply
    9,520x = 10,352 × 10,352
  4. Step 4: Simplify right side
    9,520x = 107,163,904
  5. Step 5: Solve for x
    x = 107,163,904/9,520
  6. Step 6: Final answer
    x = 11,256.71

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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.