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Finding the Third Proportional to 14,420 and 34,901

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Solution

The third proportional to 14,420 and 34,901 is: 84,471.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,420 : 34,901 = 34,901 : x
  2. Step 2: Convert to fraction form
    14,420/34,901 = 34,901/x
  3. Step 3: Cross multiply
    14,420x = 34,901 × 34,901
  4. Step 4: Simplify right side
    14,420x = 1,218,079,801
  5. Step 5: Solve for x
    x = 1,218,079,801/14,420
  6. Step 6: Final answer
    x = 84,471.55

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.