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Finding the Third Proportional to 41,651 and 66,617

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Solution

The third proportional to 41,651 and 66,617 is: 106,547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,651 : 66,617 = 66,617 : x
  2. Step 2: Convert to fraction form
    41,651/66,617 = 66,617/x
  3. Step 3: Cross multiply
    41,651x = 66,617 × 66,617
  4. Step 4: Simplify right side
    41,651x = 4,437,824,689
  5. Step 5: Solve for x
    x = 4,437,824,689/41,651
  6. Step 6: Final answer
    x = 106,547.85

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.