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Finding the Third Proportional to 39,798 and 87,493.50

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Solution

The third proportional to 39,798 and 87,493.50 is: 192,349.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,798 : 87,493.50 = 87,493.50 : x
  2. Step 2: Convert to fraction form
    39,798/87,493.50 = 87,493.50/x
  3. Step 3: Cross multiply
    39,798x = 87,493.50 × 87,493.50
  4. Step 4: Simplify right side
    39,798x = 7,655,112,542.25
  5. Step 5: Solve for x
    x = 7,655,112,542.25/39,798
  6. Step 6: Final answer
    x = 192,349.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.