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Finding the Third Proportional to 29,211 and 32,007

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Solution

The third proportional to 29,211 and 32,007 is: 35,070.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,211 : 32,007 = 32,007 : x
  2. Step 2: Convert to fraction form
    29,211/32,007 = 32,007/x
  3. Step 3: Cross multiply
    29,211x = 32,007 × 32,007
  4. Step 4: Simplify right side
    29,211x = 1,024,448,049
  5. Step 5: Solve for x
    x = 1,024,448,049/29,211
  6. Step 6: Final answer
    x = 35,070.63

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.