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Finding the Third Proportional to 38,972 and 55,733

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Solution

The third proportional to 38,972 and 55,733 is: 79,702.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,972 : 55,733 = 55,733 : x
  2. Step 2: Convert to fraction form
    38,972/55,733 = 55,733/x
  3. Step 3: Cross multiply
    38,972x = 55,733 × 55,733
  4. Step 4: Simplify right side
    38,972x = 3,106,167,289
  5. Step 5: Solve for x
    x = 3,106,167,289/38,972
  6. Step 6: Final answer
    x = 79,702.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.