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Finding the Third Proportional to 30,251 and 45,407

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Solution

The third proportional to 30,251 and 45,407 is: 68,156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,251 : 45,407 = 45,407 : x
  2. Step 2: Convert to fraction form
    30,251/45,407 = 45,407/x
  3. Step 3: Cross multiply
    30,251x = 45,407 × 45,407
  4. Step 4: Simplify right side
    30,251x = 2,061,795,649
  5. Step 5: Solve for x
    x = 2,061,795,649/30,251
  6. Step 6: Final answer
    x = 68,156.28

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