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Finding the Third Proportional to 6,924 and 15,412

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Solution

The third proportional to 6,924 and 15,412 is: 34,305.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924 : 15,412 = 15,412 : x
  2. Step 2: Convert to fraction form
    6,924/15,412 = 15,412/x
  3. Step 3: Cross multiply
    6,924x = 15,412 × 15,412
  4. Step 4: Simplify right side
    6,924x = 237,529,744
  5. Step 5: Solve for x
    x = 237,529,744/6,924
  6. Step 6: Final answer
    x = 34,305.28

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.