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Finding the Third Proportional to 4,043.67 and 9,784.55

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Solution

The third proportional to 4,043.67 and 9,784.55 is: 23,675.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,043.67 : 9,784.55 = 9,784.55 : x
  2. Step 2: Convert to fraction form
    4,043.67/9,784.55 = 9,784.55/x
  3. Step 3: Cross multiply
    4,043.67x = 9,784.55 × 9,784.55
  4. Step 4: Simplify right side
    4,043.67x = 95,737,357.55
  5. Step 5: Solve for x
    x = 95,737,357.55/4,043.67
  6. Step 6: Final answer
    x = 23,675.85

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.