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Finding the Third Proportional to 29,910.75 and 65,565.75

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Solution

The third proportional to 29,910.75 and 65,565.75 is: 143,723.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,910.75 : 65,565.75 = 65,565.75 : x
  2. Step 2: Convert to fraction form
    29,910.75/65,565.75 = 65,565.75/x
  3. Step 3: Cross multiply
    29,910.75x = 65,565.75 × 65,565.75
  4. Step 4: Simplify right side
    29,910.75x = 4,298,867,573.06
  5. Step 5: Solve for x
    x = 4,298,867,573.06/29,910.75
  6. Step 6: Final answer
    x = 143,723.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.