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Finding the Third Proportional to 33,525 and 49,708

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Solution

The third proportional to 33,525 and 49,708 is: 73,702.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,525 : 49,708 = 49,708 : x
  2. Step 2: Convert to fraction form
    33,525/49,708 = 49,708/x
  3. Step 3: Cross multiply
    33,525x = 49,708 × 49,708
  4. Step 4: Simplify right side
    33,525x = 2,470,885,264
  5. Step 5: Solve for x
    x = 2,470,885,264/33,525
  6. Step 6: Final answer
    x = 73,702.77

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.