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Finding the Third Proportional to 22,690.13 and 34,023.80

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Solution

The third proportional to 22,690.13 and 34,023.80 is: 51,018.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,690.13 : 34,023.80 = 34,023.80 : x
  2. Step 2: Convert to fraction form
    22,690.13/34,023.80 = 34,023.80/x
  3. Step 3: Cross multiply
    22,690.13x = 34,023.80 × 34,023.80
  4. Step 4: Simplify right side
    22,690.13x = 1,157,618,753.79
  5. Step 5: Solve for x
    x = 1,157,618,753.79/22,690.13
  6. Step 6: Final answer
    x = 51,018.62

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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.