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Finding the Third Proportional to 2,110.78 and 4,553.72

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Solution

The third proportional to 2,110.78 and 4,553.72 is: 9,824.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.78 : 4,553.72 = 4,553.72 : x
  2. Step 2: Convert to fraction form
    2,110.78/4,553.72 = 4,553.72/x
  3. Step 3: Cross multiply
    2,110.78x = 4,553.72 × 4,553.72
  4. Step 4: Simplify right side
    2,110.78x = 20,736,354.45
  5. Step 5: Solve for x
    x = 20,736,354.45/2,110.78
  6. Step 6: Final answer
    x = 9,824.02

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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.