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Finding the Third Proportional to 22,683.38 and 34,047.75

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Solution

The third proportional to 22,683.38 and 34,047.75 is: 51,105.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,683.38 : 34,047.75 = 34,047.75 : x
  2. Step 2: Convert to fraction form
    22,683.38/34,047.75 = 34,047.75/x
  3. Step 3: Cross multiply
    22,683.38x = 34,047.75 × 34,047.75
  4. Step 4: Simplify right side
    22,683.38x = 1,159,249,280.06
  5. Step 5: Solve for x
    x = 1,159,249,280.06/22,683.38
  6. Step 6: Final answer
    x = 51,105.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.