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Finding the Third Proportional to 41,515 and 66,091

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Solution

The third proportional to 41,515 and 66,091 is: 105,215.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,515 : 66,091 = 66,091 : x
  2. Step 2: Convert to fraction form
    41,515/66,091 = 66,091/x
  3. Step 3: Cross multiply
    41,515x = 66,091 × 66,091
  4. Step 4: Simplify right side
    41,515x = 4,368,020,281
  5. Step 5: Solve for x
    x = 4,368,020,281/41,515
  6. Step 6: Final answer
    x = 105,215.47

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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.