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Finding the Third Proportional to 10,076 and 11,108

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Solution

The third proportional to 10,076 and 11,108 is: 12,245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076 : 11,108 = 11,108 : x
  2. Step 2: Convert to fraction form
    10,076/11,108 = 11,108/x
  3. Step 3: Cross multiply
    10,076x = 11,108 × 11,108
  4. Step 4: Simplify right side
    10,076x = 123,387,664
  5. Step 5: Solve for x
    x = 123,387,664/10,076
  6. Step 6: Final answer
    x = 12,245.70

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