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Finding the Third Proportional to 22,545 and 48,218

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Solution

The third proportional to 22,545 and 48,218 is: 103,125.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,545 : 48,218 = 48,218 : x
  2. Step 2: Convert to fraction form
    22,545/48,218 = 48,218/x
  3. Step 3: Cross multiply
    22,545x = 48,218 × 48,218
  4. Step 4: Simplify right side
    22,545x = 2,324,975,524
  5. Step 5: Solve for x
    x = 2,324,975,524/22,545
  6. Step 6: Final answer
    x = 103,125.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.