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Finding the Third Proportional to 29,734 and 45,933

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Solution

The third proportional to 29,734 and 45,933 is: 70,957.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,734 : 45,933 = 45,933 : x
  2. Step 2: Convert to fraction form
    29,734/45,933 = 45,933/x
  3. Step 3: Cross multiply
    29,734x = 45,933 × 45,933
  4. Step 4: Simplify right side
    29,734x = 2,109,840,489
  5. Step 5: Solve for x
    x = 2,109,840,489/29,734
  6. Step 6: Final answer
    x = 70,957.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.