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Finding the Third Proportional to 7,734 and 16,989

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Solution

The third proportional to 7,734 and 16,989 is: 37,319.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734 : 16,989 = 16,989 : x
  2. Step 2: Convert to fraction form
    7,734/16,989 = 16,989/x
  3. Step 3: Cross multiply
    7,734x = 16,989 × 16,989
  4. Step 4: Simplify right side
    7,734x = 288,626,121
  5. Step 5: Solve for x
    x = 288,626,121/7,734
  6. Step 6: Final answer
    x = 37,319.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.