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Finding the Third Proportional to 4,882.78 and 10,669.22

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Solution

The third proportional to 4,882.78 and 10,669.22 is: 23,312.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,882.78 : 10,669.22 = 10,669.22 : x
  2. Step 2: Convert to fraction form
    4,882.78/10,669.22 = 10,669.22/x
  3. Step 3: Cross multiply
    4,882.78x = 10,669.22 × 10,669.22
  4. Step 4: Simplify right side
    4,882.78x = 113,832,228.74
  5. Step 5: Solve for x
    x = 113,832,228.74/4,882.78
  6. Step 6: Final answer
    x = 23,312.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.