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Finding the Third Proportional to 2,117.25 and 4,942.13

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Solution

The third proportional to 2,117.25 and 4,942.13 is: 11,536.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.25 : 4,942.13 = 4,942.13 : x
  2. Step 2: Convert to fraction form
    2,117.25/4,942.13 = 4,942.13/x
  3. Step 3: Cross multiply
    2,117.25x = 4,942.13 × 4,942.13
  4. Step 4: Simplify right side
    2,117.25x = 24,424,599.52
  5. Step 5: Solve for x
    x = 24,424,599.52/2,117.25
  6. Step 6: Final answer
    x = 11,536.00

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.