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Finding the Third Proportional to 41,310 and 61,668

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Solution

The third proportional to 41,310 and 61,668 is: 92,058.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,310 : 61,668 = 61,668 : x
  2. Step 2: Convert to fraction form
    41,310/61,668 = 61,668/x
  3. Step 3: Cross multiply
    41,310x = 61,668 × 61,668
  4. Step 4: Simplify right side
    41,310x = 3,802,942,224
  5. Step 5: Solve for x
    x = 3,802,942,224/41,310
  6. Step 6: Final answer
    x = 92,058.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.