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Finding the Third Proportional to 41,987 and 65,008.75

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Solution

The third proportional to 41,987 and 65,008.75 is: 100,653.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,987 : 65,008.75 = 65,008.75 : x
  2. Step 2: Convert to fraction form
    41,987/65,008.75 = 65,008.75/x
  3. Step 3: Cross multiply
    41,987x = 65,008.75 × 65,008.75
  4. Step 4: Simplify right side
    41,987x = 4,226,137,576.56
  5. Step 5: Solve for x
    x = 4,226,137,576.56/41,987
  6. Step 6: Final answer
    x = 100,653.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.