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Finding the Third Proportional to 23,114 and 30,354

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Solution

The third proportional to 23,114 and 30,354 is: 39,861.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,114 : 30,354 = 30,354 : x
  2. Step 2: Convert to fraction form
    23,114/30,354 = 30,354/x
  3. Step 3: Cross multiply
    23,114x = 30,354 × 30,354
  4. Step 4: Simplify right side
    23,114x = 921,365,316
  5. Step 5: Solve for x
    x = 921,365,316/23,114
  6. Step 6: Final answer
    x = 39,861.79

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.