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Finding the Third Proportional to 16,661 and 35,617

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Solution

The third proportional to 16,661 and 35,617 is: 76,140.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,661 : 35,617 = 35,617 : x
  2. Step 2: Convert to fraction form
    16,661/35,617 = 35,617/x
  3. Step 3: Cross multiply
    16,661x = 35,617 × 35,617
  4. Step 4: Simplify right side
    16,661x = 1,268,570,689
  5. Step 5: Solve for x
    x = 1,268,570,689/16,661
  6. Step 6: Final answer
    x = 76,140.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.