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Finding the Third Proportional to 30,197 and 45,223

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Solution

The third proportional to 30,197 and 45,223 is: 67,725.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,197 : 45,223 = 45,223 : x
  2. Step 2: Convert to fraction form
    30,197/45,223 = 45,223/x
  3. Step 3: Cross multiply
    30,197x = 45,223 × 45,223
  4. Step 4: Simplify right side
    30,197x = 2,045,119,729
  5. Step 5: Solve for x
    x = 2,045,119,729/30,197
  6. Step 6: Final answer
    x = 67,725.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.