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Finding the Third Proportional to 22,870 and 30,355

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Solution

The third proportional to 22,870 and 30,355 is: 40,289.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,870 : 30,355 = 30,355 : x
  2. Step 2: Convert to fraction form
    22,870/30,355 = 30,355/x
  3. Step 3: Cross multiply
    22,870x = 30,355 × 30,355
  4. Step 4: Simplify right side
    22,870x = 921,426,025
  5. Step 5: Solve for x
    x = 921,426,025/22,870
  6. Step 6: Final answer
    x = 40,289.73

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.