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Finding the Third Proportional to 22,318 and 52,595

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Solution

The third proportional to 22,318 and 52,595 is: 123,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,318 : 52,595 = 52,595 : x
  2. Step 2: Convert to fraction form
    22,318/52,595 = 52,595/x
  3. Step 3: Cross multiply
    22,318x = 52,595 × 52,595
  4. Step 4: Simplify right side
    22,318x = 2,766,234,025
  5. Step 5: Solve for x
    x = 2,766,234,025/22,318
  6. Step 6: Final answer
    x = 123,946.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.