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Finding the Third Proportional to 9,056.81 and 19,665.28

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Solution

The third proportional to 9,056.81 and 19,665.28 is: 42,699.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,056.81 : 19,665.28 = 19,665.28 : x
  2. Step 2: Convert to fraction form
    9,056.81/19,665.28 = 19,665.28/x
  3. Step 3: Cross multiply
    9,056.81x = 19,665.28 × 19,665.28
  4. Step 4: Simplify right side
    9,056.81x = 386,723,286.64
  5. Step 5: Solve for x
    x = 386,723,286.64/9,056.81
  6. Step 6: Final answer
    x = 42,699.71

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.