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Finding the Third Proportional to 14,448 and 33,336

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Solution

The third proportional to 14,448 and 33,336 is: 76,916.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,448 : 33,336 = 33,336 : x
  2. Step 2: Convert to fraction form
    14,448/33,336 = 33,336/x
  3. Step 3: Cross multiply
    14,448x = 33,336 × 33,336
  4. Step 4: Simplify right side
    14,448x = 1,111,288,896
  5. Step 5: Solve for x
    x = 1,111,288,896/14,448
  6. Step 6: Final answer
    x = 76,916.45

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.