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Finding the Third Proportional to 29,243 and 63,002

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Solution

The third proportional to 29,243 and 63,002 is: 135,733.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,243 : 63,002 = 63,002 : x
  2. Step 2: Convert to fraction form
    29,243/63,002 = 63,002/x
  3. Step 3: Cross multiply
    29,243x = 63,002 × 63,002
  4. Step 4: Simplify right side
    29,243x = 3,969,252,004
  5. Step 5: Solve for x
    x = 3,969,252,004/29,243
  6. Step 6: Final answer
    x = 135,733.41

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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.