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Finding the Third Proportional to 4,695.47 and 9,846.56

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Solution

The third proportional to 4,695.47 and 9,846.56 is: 20,648.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.47 : 9,846.56 = 9,846.56 : x
  2. Step 2: Convert to fraction form
    4,695.47/9,846.56 = 9,846.56/x
  3. Step 3: Cross multiply
    4,695.47x = 9,846.56 × 9,846.56
  4. Step 4: Simplify right side
    4,695.47x = 96,954,793.07
  5. Step 5: Solve for x
    x = 96,954,793.07/4,695.47
  6. Step 6: Final answer
    x = 20,648.59

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.