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Finding the Third Proportional to 4,577.06 and 9,993.38

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Solution

The third proportional to 4,577.06 and 9,993.38 is: 21,819.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.06 : 9,993.38 = 9,993.38 : x
  2. Step 2: Convert to fraction form
    4,577.06/9,993.38 = 9,993.38/x
  3. Step 3: Cross multiply
    4,577.06x = 9,993.38 × 9,993.38
  4. Step 4: Simplify right side
    4,577.06x = 99,867,543.89
  5. Step 5: Solve for x
    x = 99,867,543.89/4,577.06
  6. Step 6: Final answer
    x = 21,819.13

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.