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Finding the Third Proportional to 29,319 and 63,006

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Solution

The third proportional to 29,319 and 63,006 is: 135,398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,319 : 63,006 = 63,006 : x
  2. Step 2: Convert to fraction form
    29,319/63,006 = 63,006/x
  3. Step 3: Cross multiply
    29,319x = 63,006 × 63,006
  4. Step 4: Simplify right side
    29,319x = 3,969,756,036
  5. Step 5: Solve for x
    x = 3,969,756,036/29,319
  6. Step 6: Final answer
    x = 135,398.75

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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.