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Finding the Third Proportional to 30,398 and 45,471

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Solution

The third proportional to 30,398 and 45,471 is: 68,018.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,398 : 45,471 = 45,471 : x
  2. Step 2: Convert to fraction form
    30,398/45,471 = 45,471/x
  3. Step 3: Cross multiply
    30,398x = 45,471 × 45,471
  4. Step 4: Simplify right side
    30,398x = 2,067,611,841
  5. Step 5: Solve for x
    x = 2,067,611,841/30,398
  6. Step 6: Final answer
    x = 68,018.02

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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.