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Finding the Third Proportional to 41,515.16 and 66,090.91

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Solution

The third proportional to 41,515.16 and 66,090.91 is: 105,214.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,515.16 : 66,090.91 = 66,090.91 : x
  2. Step 2: Convert to fraction form
    41,515.16/66,090.91 = 66,090.91/x
  3. Step 3: Cross multiply
    41,515.16x = 66,090.91 × 66,090.91
  4. Step 4: Simplify right side
    41,515.16x = 4,368,007,888.95
  5. Step 5: Solve for x
    x = 4,368,007,888.95/41,515.16
  6. Step 6: Final answer
    x = 105,214.78

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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.