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Finding the Third Proportional to 6,010 and 12,902

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Solution

The third proportional to 6,010 and 12,902 is: 27,697.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,010 : 12,902 = 12,902 : x
  2. Step 2: Convert to fraction form
    6,010/12,902 = 12,902/x
  3. Step 3: Cross multiply
    6,010x = 12,902 × 12,902
  4. Step 4: Simplify right side
    6,010x = 166,461,604
  5. Step 5: Solve for x
    x = 166,461,604/6,010
  6. Step 6: Final answer
    x = 27,697.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.