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Finding the Third Proportional to 4,924.88 and 10,806.56

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Solution

The third proportional to 4,924.88 and 10,806.56 is: 23,712.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924.88 : 10,806.56 = 10,806.56 : x
  2. Step 2: Convert to fraction form
    4,924.88/10,806.56 = 10,806.56/x
  3. Step 3: Cross multiply
    4,924.88x = 10,806.56 × 10,806.56
  4. Step 4: Simplify right side
    4,924.88x = 116,781,793.07
  5. Step 5: Solve for x
    x = 116,781,793.07/4,924.88
  6. Step 6: Final answer
    x = 23,712.64

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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.