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Finding the Third Proportional to 7,707 and 16,617

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Solution

The third proportional to 7,707 and 16,617 is: 35,827.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707 : 16,617 = 16,617 : x
  2. Step 2: Convert to fraction form
    7,707/16,617 = 16,617/x
  3. Step 3: Cross multiply
    7,707x = 16,617 × 16,617
  4. Step 4: Simplify right side
    7,707x = 276,124,689
  5. Step 5: Solve for x
    x = 276,124,689/7,707
  6. Step 6: Final answer
    x = 35,827.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.