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Finding the Third Proportional to 19,019.81 and 29,566.27

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Solution

The third proportional to 19,019.81 and 29,566.27 is: 45,960.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,019.81 : 29,566.27 = 29,566.27 : x
  2. Step 2: Convert to fraction form
    19,019.81/29,566.27 = 29,566.27/x
  3. Step 3: Cross multiply
    19,019.81x = 29,566.27 × 29,566.27
  4. Step 4: Simplify right side
    19,019.81x = 874,164,063.01
  5. Step 5: Solve for x
    x = 874,164,063.01/19,019.81
  6. Step 6: Final answer
    x = 45,960.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.