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Finding the Third Proportional to 39,798 and 83,916

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Solution

The third proportional to 39,798 and 83,916 is: 176,940.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,798 : 83,916 = 83,916 : x
  2. Step 2: Convert to fraction form
    39,798/83,916 = 83,916/x
  3. Step 3: Cross multiply
    39,798x = 83,916 × 83,916
  4. Step 4: Simplify right side
    39,798x = 7,041,895,056
  5. Step 5: Solve for x
    x = 7,041,895,056/39,798
  6. Step 6: Final answer
    x = 176,940.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.