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Finding the Third Proportional to 14,898 and 23,059

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Solution

The third proportional to 14,898 and 23,059 is: 35,690.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,898 : 23,059 = 23,059 : x
  2. Step 2: Convert to fraction form
    14,898/23,059 = 23,059/x
  3. Step 3: Cross multiply
    14,898x = 23,059 × 23,059
  4. Step 4: Simplify right side
    14,898x = 531,717,481
  5. Step 5: Solve for x
    x = 531,717,481/14,898
  6. Step 6: Final answer
    x = 35,690.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.