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Finding the Third Proportional to 2,221.31 and 4,799.06

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Solution

The third proportional to 2,221.31 and 4,799.06 is: 10,368.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.31 : 4,799.06 = 4,799.06 : x
  2. Step 2: Convert to fraction form
    2,221.31/4,799.06 = 4,799.06/x
  3. Step 3: Cross multiply
    2,221.31x = 4,799.06 × 4,799.06
  4. Step 4: Simplify right side
    2,221.31x = 23,031,000.88
  5. Step 5: Solve for x
    x = 23,031,000.88/2,221.31
  6. Step 6: Final answer
    x = 10,368.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.