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Finding the Third Proportional to 8,054 and 14,902

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Solution

The third proportional to 8,054 and 14,902 is: 27,572.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,054 : 14,902 = 14,902 : x
  2. Step 2: Convert to fraction form
    8,054/14,902 = 14,902/x
  3. Step 3: Cross multiply
    8,054x = 14,902 × 14,902
  4. Step 4: Simplify right side
    8,054x = 222,069,604
  5. Step 5: Solve for x
    x = 222,069,604/8,054
  6. Step 6: Final answer
    x = 27,572.59

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.