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Finding the Third Proportional to 7,078 and 14,924

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Solution

The third proportional to 7,078 and 14,924 is: 31,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078 : 14,924 = 14,924 : x
  2. Step 2: Convert to fraction form
    7,078/14,924 = 14,924/x
  3. Step 3: Cross multiply
    7,078x = 14,924 × 14,924
  4. Step 4: Simplify right side
    7,078x = 222,725,776
  5. Step 5: Solve for x
    x = 222,725,776/7,078
  6. Step 6: Final answer
    x = 31,467.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.