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Finding the Third Proportional to 9,942 and 11,076

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Solution

The third proportional to 9,942 and 11,076 is: 12,339.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942 : 11,076 = 11,076 : x
  2. Step 2: Convert to fraction form
    9,942/11,076 = 11,076/x
  3. Step 3: Cross multiply
    9,942x = 11,076 × 11,076
  4. Step 4: Simplify right side
    9,942x = 122,677,776
  5. Step 5: Solve for x
    x = 122,677,776/9,942
  6. Step 6: Final answer
    x = 12,339.35

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.