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Finding the Third Proportional to 29,166.75 and 31,758.75

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Solution

The third proportional to 29,166.75 and 31,758.75 is: 34,581.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,166.75 : 31,758.75 = 31,758.75 : x
  2. Step 2: Convert to fraction form
    29,166.75/31,758.75 = 31,758.75/x
  3. Step 3: Cross multiply
    29,166.75x = 31,758.75 × 31,758.75
  4. Step 4: Simplify right side
    29,166.75x = 1,008,618,201.56
  5. Step 5: Solve for x
    x = 1,008,618,201.56/29,166.75
  6. Step 6: Final answer
    x = 34,581.10

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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.