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Finding the Third Proportional to 4,542.75 and 9,784.13

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Solution

The third proportional to 4,542.75 and 9,784.13 is: 21,072.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.75 : 9,784.13 = 9,784.13 : x
  2. Step 2: Convert to fraction form
    4,542.75/9,784.13 = 9,784.13/x
  3. Step 3: Cross multiply
    4,542.75x = 9,784.13 × 9,784.13
  4. Step 4: Simplify right side
    4,542.75x = 95,729,102.02
  5. Step 5: Solve for x
    x = 95,729,102.02/4,542.75
  6. Step 6: Final answer
    x = 21,072.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.