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Finding the Third Proportional to 6,424 and 15,118

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Solution

The third proportional to 6,424 and 15,118 is: 35,578.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424 : 15,118 = 15,118 : x
  2. Step 2: Convert to fraction form
    6,424/15,118 = 15,118/x
  3. Step 3: Cross multiply
    6,424x = 15,118 × 15,118
  4. Step 4: Simplify right side
    6,424x = 228,553,924
  5. Step 5: Solve for x
    x = 228,553,924/6,424
  6. Step 6: Final answer
    x = 35,578.13

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.