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Finding the Third Proportional to 29,282 and 63,003

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Solution

The third proportional to 29,282 and 63,003 is: 135,556.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,282 : 63,003 = 63,003 : x
  2. Step 2: Convert to fraction form
    29,282/63,003 = 63,003/x
  3. Step 3: Cross multiply
    29,282x = 63,003 × 63,003
  4. Step 4: Simplify right side
    29,282x = 3,969,378,009
  5. Step 5: Solve for x
    x = 3,969,378,009/29,282
  6. Step 6: Final answer
    x = 135,556.93

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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.