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Finding the Third Proportional to 35,674 and 47,727

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Solution

The third proportional to 35,674 and 47,727 is: 63,852.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,674 : 47,727 = 47,727 : x
  2. Step 2: Convert to fraction form
    35,674/47,727 = 47,727/x
  3. Step 3: Cross multiply
    35,674x = 47,727 × 47,727
  4. Step 4: Simplify right side
    35,674x = 2,277,866,529
  5. Step 5: Solve for x
    x = 2,277,866,529/35,674
  6. Step 6: Final answer
    x = 63,852.29

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.