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Finding the Third Proportional to 2,117.25 and 4,548.38

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Solution

The third proportional to 2,117.25 and 4,548.38 is: 9,771.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.25 : 4,548.38 = 4,548.38 : x
  2. Step 2: Convert to fraction form
    2,117.25/4,548.38 = 4,548.38/x
  3. Step 3: Cross multiply
    2,117.25x = 4,548.38 × 4,548.38
  4. Step 4: Simplify right side
    2,117.25x = 20,687,715.14
  5. Step 5: Solve for x
    x = 20,687,715.14/2,117.25
  6. Step 6: Final answer
    x = 9,771.03

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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.