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Finding the Third Proportional to 11,416 and 14,924

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Solution

The third proportional to 11,416 and 14,924 is: 19,509.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416 : 14,924 = 14,924 : x
  2. Step 2: Convert to fraction form
    11,416/14,924 = 14,924/x
  3. Step 3: Cross multiply
    11,416x = 14,924 × 14,924
  4. Step 4: Simplify right side
    11,416x = 222,725,776
  5. Step 5: Solve for x
    x = 222,725,776/11,416
  6. Step 6: Final answer
    x = 19,509.97

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.