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Finding the Third Proportional to 7,822.83 and 16,874.58

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Solution

The third proportional to 7,822.83 and 16,874.58 is: 36,400.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.83 : 16,874.58 = 16,874.58 : x
  2. Step 2: Convert to fraction form
    7,822.83/16,874.58 = 16,874.58/x
  3. Step 3: Cross multiply
    7,822.83x = 16,874.58 × 16,874.58
  4. Step 4: Simplify right side
    7,822.83x = 284,751,386.90
  5. Step 5: Solve for x
    x = 284,751,386.90/7,822.83
  6. Step 6: Final answer
    x = 36,400.06

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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.