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Finding the Third Proportional to 34,761 and 53,869

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Solution

The third proportional to 34,761 and 53,869 is: 83,480.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,761 : 53,869 = 53,869 : x
  2. Step 2: Convert to fraction form
    34,761/53,869 = 53,869/x
  3. Step 3: Cross multiply
    34,761x = 53,869 × 53,869
  4. Step 4: Simplify right side
    34,761x = 2,901,869,161
  5. Step 5: Solve for x
    x = 2,901,869,161/34,761
  6. Step 6: Final answer
    x = 83,480.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.