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Finding the Third Proportional to 29,120 and 32,144

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Solution

The third proportional to 29,120 and 32,144 is: 35,482.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,120 : 32,144 = 32,144 : x
  2. Step 2: Convert to fraction form
    29,120/32,144 = 32,144/x
  3. Step 3: Cross multiply
    29,120x = 32,144 × 32,144
  4. Step 4: Simplify right side
    29,120x = 1,033,236,736
  5. Step 5: Solve for x
    x = 1,033,236,736/29,120
  6. Step 6: Final answer
    x = 35,482.03

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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.