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Finding the Third Proportional to 992.74 and 2,122.17

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Solution

The third proportional to 992.74 and 2,122.17 is: 4,536.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.74 : 2,122.17 = 2,122.17 : x
  2. Step 2: Convert to fraction form
    992.74/2,122.17 = 2,122.17/x
  3. Step 3: Cross multiply
    992.74x = 2,122.17 × 2,122.17
  4. Step 4: Simplify right side
    992.74x = 4,503,613.47
  5. Step 5: Solve for x
    x = 4,503,613.47/992.74
  6. Step 6: Final answer
    x = 4,536.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.