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Finding the Third Proportional to 36,798 and 53,881

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Solution

The third proportional to 36,798 and 53,881 is: 78,894.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,798 : 53,881 = 53,881 : x
  2. Step 2: Convert to fraction form
    36,798/53,881 = 53,881/x
  3. Step 3: Cross multiply
    36,798x = 53,881 × 53,881
  4. Step 4: Simplify right side
    36,798x = 2,903,162,161
  5. Step 5: Solve for x
    x = 2,903,162,161/36,798
  6. Step 6: Final answer
    x = 78,894.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.