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Finding the Third Proportional to 10,684 and 15,990

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Solution

The third proportional to 10,684 and 15,990 is: 23,931.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684 : 15,990 = 15,990 : x
  2. Step 2: Convert to fraction form
    10,684/15,990 = 15,990/x
  3. Step 3: Cross multiply
    10,684x = 15,990 × 15,990
  4. Step 4: Simplify right side
    10,684x = 255,680,100
  5. Step 5: Solve for x
    x = 255,680,100/10,684
  6. Step 6: Final answer
    x = 23,931.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.