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Finding the Third Proportional to 4,475.25 and 9,662.63

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Solution

The third proportional to 4,475.25 and 9,662.63 is: 20,862.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,475.25 : 9,662.63 = 9,662.63 : x
  2. Step 2: Convert to fraction form
    4,475.25/9,662.63 = 9,662.63/x
  3. Step 3: Cross multiply
    4,475.25x = 9,662.63 × 9,662.63
  4. Step 4: Simplify right side
    4,475.25x = 93,366,321.89
  5. Step 5: Solve for x
    x = 93,366,321.89/4,475.25
  6. Step 6: Final answer
    x = 20,862.82

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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.