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Finding the Third Proportional to 14,264 and 34,364

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Solution

The third proportional to 14,264 and 34,364 is: 82,787.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,264 : 34,364 = 34,364 : x
  2. Step 2: Convert to fraction form
    14,264/34,364 = 34,364/x
  3. Step 3: Cross multiply
    14,264x = 34,364 × 34,364
  4. Step 4: Simplify right side
    14,264x = 1,180,884,496
  5. Step 5: Solve for x
    x = 1,180,884,496/14,264
  6. Step 6: Final answer
    x = 82,787.75

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.