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Finding the Third Proportional to 41,478 and 62,985

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Solution

The third proportional to 41,478 and 62,985 is: 95,643.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,478 : 62,985 = 62,985 : x
  2. Step 2: Convert to fraction form
    41,478/62,985 = 62,985/x
  3. Step 3: Cross multiply
    41,478x = 62,985 × 62,985
  4. Step 4: Simplify right side
    41,478x = 3,967,110,225
  5. Step 5: Solve for x
    x = 3,967,110,225/41,478
  6. Step 6: Final answer
    x = 95,643.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.