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Finding the Third Proportional to 30,230 and 44,422

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Solution

The third proportional to 30,230 and 44,422 is: 65,276.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,230 : 44,422 = 44,422 : x
  2. Step 2: Convert to fraction form
    30,230/44,422 = 44,422/x
  3. Step 3: Cross multiply
    30,230x = 44,422 × 44,422
  4. Step 4: Simplify right side
    30,230x = 1,973,314,084
  5. Step 5: Solve for x
    x = 1,973,314,084/30,230
  6. Step 6: Final answer
    x = 65,276.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.