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Finding the Third Proportional to 992.88 and 2,181.30

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Solution

The third proportional to 992.88 and 2,181.30 is: 4,792.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.88 : 2,181.30 = 2,181.30 : x
  2. Step 2: Convert to fraction form
    992.88/2,181.30 = 2,181.30/x
  3. Step 3: Cross multiply
    992.88x = 2,181.30 × 2,181.30
  4. Step 4: Simplify right side
    992.88x = 4,758,090.14
  5. Step 5: Solve for x
    x = 4,758,090.14/992.88
  6. Step 6: Final answer
    x = 4,792.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.