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Finding the Third Proportional to 30,274 and 45,438

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Solution

The third proportional to 30,274 and 45,438 is: 68,197.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,274 : 45,438 = 45,438 : x
  2. Step 2: Convert to fraction form
    30,274/45,438 = 45,438/x
  3. Step 3: Cross multiply
    30,274x = 45,438 × 45,438
  4. Step 4: Simplify right side
    30,274x = 2,064,611,844
  5. Step 5: Solve for x
    x = 2,064,611,844/30,274
  6. Step 6: Final answer
    x = 68,197.52

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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.