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Finding the Third Proportional to 41,516 and 66,092

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Solution

The third proportional to 41,516 and 66,092 is: 105,216.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,516 : 66,092 = 66,092 : x
  2. Step 2: Convert to fraction form
    41,516/66,092 = 66,092/x
  3. Step 3: Cross multiply
    41,516x = 66,092 × 66,092
  4. Step 4: Simplify right side
    41,516x = 4,368,152,464
  5. Step 5: Solve for x
    x = 4,368,152,464/41,516
  6. Step 6: Final answer
    x = 105,216.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.