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Finding the Third Proportional to 4,087.34 and 6,285.73

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Solution

The third proportional to 4,087.34 and 6,285.73 is: 9,666.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,087.34 : 6,285.73 = 6,285.73 : x
  2. Step 2: Convert to fraction form
    4,087.34/6,285.73 = 6,285.73/x
  3. Step 3: Cross multiply
    4,087.34x = 6,285.73 × 6,285.73
  4. Step 4: Simplify right side
    4,087.34x = 39,510,358.42
  5. Step 5: Solve for x
    x = 39,510,358.42/4,087.34
  6. Step 6: Final answer
    x = 9,666.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.