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Finding the Third Proportional to 33,747 and 51,642

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Solution

The third proportional to 33,747 and 51,642 is: 79,026.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,747 : 51,642 = 51,642 : x
  2. Step 2: Convert to fraction form
    33,747/51,642 = 51,642/x
  3. Step 3: Cross multiply
    33,747x = 51,642 × 51,642
  4. Step 4: Simplify right side
    33,747x = 2,666,896,164
  5. Step 5: Solve for x
    x = 2,666,896,164/33,747
  6. Step 6: Final answer
    x = 79,026.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.