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Finding the Third Proportional to 4,864.78 and 10,645.31

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Solution

The third proportional to 4,864.78 and 10,645.31 is: 23,294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.78 : 10,645.31 = 10,645.31 : x
  2. Step 2: Convert to fraction form
    4,864.78/10,645.31 = 10,645.31/x
  3. Step 3: Cross multiply
    4,864.78x = 10,645.31 × 10,645.31
  4. Step 4: Simplify right side
    4,864.78x = 113,322,678.22
  5. Step 5: Solve for x
    x = 113,322,678.22/4,864.78
  6. Step 6: Final answer
    x = 23,294.51

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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.