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Finding the Third Proportional to 7,826 and 15,820

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Solution

The third proportional to 7,826 and 15,820 is: 31,979.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826 : 15,820 = 15,820 : x
  2. Step 2: Convert to fraction form
    7,826/15,820 = 15,820/x
  3. Step 3: Cross multiply
    7,826x = 15,820 × 15,820
  4. Step 4: Simplify right side
    7,826x = 250,272,400
  5. Step 5: Solve for x
    x = 250,272,400/7,826
  6. Step 6: Final answer
    x = 31,979.61

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.