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Finding the Third Proportional to 3,798.84 and 5,750.69

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Solution

The third proportional to 3,798.84 and 5,750.69 is: 8,705.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.84 : 5,750.69 = 5,750.69 : x
  2. Step 2: Convert to fraction form
    3,798.84/5,750.69 = 5,750.69/x
  3. Step 3: Cross multiply
    3,798.84x = 5,750.69 × 5,750.69
  4. Step 4: Simplify right side
    3,798.84x = 33,070,406.72
  5. Step 5: Solve for x
    x = 33,070,406.72/3,798.84
  6. Step 6: Final answer
    x = 8,705.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.