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Finding the Third Proportional to 30,114 and 45,393

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Solution

The third proportional to 30,114 and 45,393 is: 68,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,114 : 45,393 = 45,393 : x
  2. Step 2: Convert to fraction form
    30,114/45,393 = 45,393/x
  3. Step 3: Cross multiply
    30,114x = 45,393 × 45,393
  4. Step 4: Simplify right side
    30,114x = 2,060,524,449
  5. Step 5: Solve for x
    x = 2,060,524,449/30,114
  6. Step 6: Final answer
    x = 68,424.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.