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Finding the Third Proportional to 27,099 and 35,262

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Solution

The third proportional to 27,099 and 35,262 is: 45,883.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,099 : 35,262 = 35,262 : x
  2. Step 2: Convert to fraction form
    27,099/35,262 = 35,262/x
  3. Step 3: Cross multiply
    27,099x = 35,262 × 35,262
  4. Step 4: Simplify right side
    27,099x = 1,243,408,644
  5. Step 5: Solve for x
    x = 1,243,408,644/27,099
  6. Step 6: Final answer
    x = 45,883.93

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.