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Finding the Third Proportional to 7,848.84 and 16,249.78

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Solution

The third proportional to 7,848.84 and 16,249.78 is: 33,642.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848.84 : 16,249.78 = 16,249.78 : x
  2. Step 2: Convert to fraction form
    7,848.84/16,249.78 = 16,249.78/x
  3. Step 3: Cross multiply
    7,848.84x = 16,249.78 × 16,249.78
  4. Step 4: Simplify right side
    7,848.84x = 264,055,390.67
  5. Step 5: Solve for x
    x = 264,055,390.67/7,848.84
  6. Step 6: Final answer
    x = 33,642.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.