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Finding the Third Proportional to 29,532 and 54,753

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Solution

The third proportional to 29,532 and 54,753 is: 101,513.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,532 : 54,753 = 54,753 : x
  2. Step 2: Convert to fraction form
    29,532/54,753 = 54,753/x
  3. Step 3: Cross multiply
    29,532x = 54,753 × 54,753
  4. Step 4: Simplify right side
    29,532x = 2,997,891,009
  5. Step 5: Solve for x
    x = 2,997,891,009/29,532
  6. Step 6: Final answer
    x = 101,513.31

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.