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Finding the Third Proportional to 14,194 and 30,523

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Solution

The third proportional to 14,194 and 30,523 is: 65,637.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194 : 30,523 = 30,523 : x
  2. Step 2: Convert to fraction form
    14,194/30,523 = 30,523/x
  3. Step 3: Cross multiply
    14,194x = 30,523 × 30,523
  4. Step 4: Simplify right side
    14,194x = 931,653,529
  5. Step 5: Solve for x
    x = 931,653,529/14,194
  6. Step 6: Final answer
    x = 65,637.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.