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Finding the Third Proportional to 41,961.75 and 64,038

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Solution

The third proportional to 41,961.75 and 64,038 is: 97,728.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,961.75 : 64,038 = 64,038 : x
  2. Step 2: Convert to fraction form
    41,961.75/64,038 = 64,038/x
  3. Step 3: Cross multiply
    41,961.75x = 64,038 × 64,038
  4. Step 4: Simplify right side
    41,961.75x = 4,100,865,444
  5. Step 5: Solve for x
    x = 4,100,865,444/41,961.75
  6. Step 6: Final answer
    x = 97,728.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.