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Finding the Third Proportional to 14,448 and 34,972

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Solution

The third proportional to 14,448 and 34,972 is: 84,651.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,448 : 34,972 = 34,972 : x
  2. Step 2: Convert to fraction form
    14,448/34,972 = 34,972/x
  3. Step 3: Cross multiply
    14,448x = 34,972 × 34,972
  4. Step 4: Simplify right side
    14,448x = 1,223,040,784
  5. Step 5: Solve for x
    x = 1,223,040,784/14,448
  6. Step 6: Final answer
    x = 84,651.22

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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.