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Finding the Third Proportional to 14,410 and 31,344

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Solution

The third proportional to 14,410 and 31,344 is: 68,178.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410 : 31,344 = 31,344 : x
  2. Step 2: Convert to fraction form
    14,410/31,344 = 31,344/x
  3. Step 3: Cross multiply
    14,410x = 31,344 × 31,344
  4. Step 4: Simplify right side
    14,410x = 982,446,336
  5. Step 5: Solve for x
    x = 982,446,336/14,410
  6. Step 6: Final answer
    x = 68,178.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.