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Finding the Third Proportional to 4,322.25 and 9,106.88

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Solution

The third proportional to 4,322.25 and 9,106.88 is: 19,187.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.25 : 9,106.88 = 9,106.88 : x
  2. Step 2: Convert to fraction form
    4,322.25/9,106.88 = 9,106.88/x
  3. Step 3: Cross multiply
    4,322.25x = 9,106.88 × 9,106.88
  4. Step 4: Simplify right side
    4,322.25x = 82,935,172.27
  5. Step 5: Solve for x
    x = 82,935,172.27/4,322.25
  6. Step 6: Final answer
    x = 19,187.96

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.