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Finding the Third Proportional to 17,412.75 and 22,683.38

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Solution

The third proportional to 17,412.75 and 22,683.38 is: 29,549.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,412.75 : 22,683.38 = 22,683.38 : x
  2. Step 2: Convert to fraction form
    17,412.75/22,683.38 = 22,683.38/x
  3. Step 3: Cross multiply
    17,412.75x = 22,683.38 × 22,683.38
  4. Step 4: Simplify right side
    17,412.75x = 514,535,501.39
  5. Step 5: Solve for x
    x = 514,535,501.39/17,412.75
  6. Step 6: Final answer
    x = 29,549.35

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.