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Finding the Third Proportional to 19,622.25 and 29,514.38

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Solution

The third proportional to 19,622.25 and 29,514.38 is: 44,393.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,622.25 : 29,514.38 = 29,514.38 : x
  2. Step 2: Convert to fraction form
    19,622.25/29,514.38 = 29,514.38/x
  3. Step 3: Cross multiply
    19,622.25x = 29,514.38 × 29,514.38
  4. Step 4: Simplify right side
    19,622.25x = 871,098,331.64
  5. Step 5: Solve for x
    x = 871,098,331.64/19,622.25
  6. Step 6: Final answer
    x = 44,393.40

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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.