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Finding the Third Proportional to 2,305 and 4,924

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Solution

The third proportional to 2,305 and 4,924 is: 10,518.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305 : 4,924 = 4,924 : x
  2. Step 2: Convert to fraction form
    2,305/4,924 = 4,924/x
  3. Step 3: Cross multiply
    2,305x = 4,924 × 4,924
  4. Step 4: Simplify right side
    2,305x = 24,245,776
  5. Step 5: Solve for x
    x = 24,245,776/2,305
  6. Step 6: Final answer
    x = 10,518.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.