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Finding the Third Proportional to 14,336 and 27,072

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Solution

The third proportional to 14,336 and 27,072 is: 51,122.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,336 : 27,072 = 27,072 : x
  2. Step 2: Convert to fraction form
    14,336/27,072 = 27,072/x
  3. Step 3: Cross multiply
    14,336x = 27,072 × 27,072
  4. Step 4: Simplify right side
    14,336x = 732,893,184
  5. Step 5: Solve for x
    x = 732,893,184/14,336
  6. Step 6: Final answer
    x = 51,122.57

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.