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Finding the Third Proportional to 30,545 and 67,218

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Solution

The third proportional to 30,545 and 67,218 is: 147,921.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,545 : 67,218 = 67,218 : x
  2. Step 2: Convert to fraction form
    30,545/67,218 = 67,218/x
  3. Step 3: Cross multiply
    30,545x = 67,218 × 67,218
  4. Step 4: Simplify right side
    30,545x = 4,518,259,524
  5. Step 5: Solve for x
    x = 4,518,259,524/30,545
  6. Step 6: Final answer
    x = 147,921.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.