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Finding the Third Proportional to 29,128 and 32,152

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Solution

The third proportional to 29,128 and 32,152 is: 35,489.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,128 : 32,152 = 32,152 : x
  2. Step 2: Convert to fraction form
    29,128/32,152 = 32,152/x
  3. Step 3: Cross multiply
    29,128x = 32,152 × 32,152
  4. Step 4: Simplify right side
    29,128x = 1,033,751,104
  5. Step 5: Solve for x
    x = 1,033,751,104/29,128
  6. Step 6: Final answer
    x = 35,489.94

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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.