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Finding the Third Proportional to 36,673 and 55,360

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Solution

The third proportional to 36,673 and 55,360 is: 83,569.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,673 : 55,360 = 55,360 : x
  2. Step 2: Convert to fraction form
    36,673/55,360 = 55,360/x
  3. Step 3: Cross multiply
    36,673x = 55,360 × 55,360
  4. Step 4: Simplify right side
    36,673x = 3,064,729,600
  5. Step 5: Solve for x
    x = 3,064,729,600/36,673
  6. Step 6: Final answer
    x = 83,569.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.