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Finding the Third Proportional to 14,706 and 27,924

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Solution

The third proportional to 14,706 and 27,924 is: 53,022.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706 : 27,924 = 27,924 : x
  2. Step 2: Convert to fraction form
    14,706/27,924 = 27,924/x
  3. Step 3: Cross multiply
    14,706x = 27,924 × 27,924
  4. Step 4: Simplify right side
    14,706x = 779,749,776
  5. Step 5: Solve for x
    x = 779,749,776/14,706
  6. Step 6: Final answer
    x = 53,022.56

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.