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Finding the Third Proportional to 32,288 and 35,232

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Solution

The third proportional to 32,288 and 35,232 is: 38,444.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,288 : 35,232 = 35,232 : x
  2. Step 2: Convert to fraction form
    32,288/35,232 = 35,232/x
  3. Step 3: Cross multiply
    32,288x = 35,232 × 35,232
  4. Step 4: Simplify right side
    32,288x = 1,241,293,824
  5. Step 5: Solve for x
    x = 1,241,293,824/32,288
  6. Step 6: Final answer
    x = 38,444.43

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.