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Finding the Third Proportional to 18,226.13 and 23,289.19

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Solution

The third proportional to 18,226.13 and 23,289.19 is: 29,758.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,226.13 : 23,289.19 = 23,289.19 : x
  2. Step 2: Convert to fraction form
    18,226.13/23,289.19 = 23,289.19/x
  3. Step 3: Cross multiply
    18,226.13x = 23,289.19 × 23,289.19
  4. Step 4: Simplify right side
    18,226.13x = 542,386,254.41
  5. Step 5: Solve for x
    x = 542,386,254.41/18,226.13
  6. Step 6: Final answer
    x = 29,758.73

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.