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Finding the Third Proportional to 29,096 and 39,288

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Solution

The third proportional to 29,096 and 39,288 is: 53,050.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,096 : 39,288 = 39,288 : x
  2. Step 2: Convert to fraction form
    29,096/39,288 = 39,288/x
  3. Step 3: Cross multiply
    29,096x = 39,288 × 39,288
  4. Step 4: Simplify right side
    29,096x = 1,543,546,944
  5. Step 5: Solve for x
    x = 1,543,546,944/29,096
  6. Step 6: Final answer
    x = 53,050.14

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.