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Finding the Third Proportional to 36,798 and 80,715

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Solution

The third proportional to 36,798 and 80,715 is: 177,045.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,798 : 80,715 = 80,715 : x
  2. Step 2: Convert to fraction form
    36,798/80,715 = 80,715/x
  3. Step 3: Cross multiply
    36,798x = 80,715 × 80,715
  4. Step 4: Simplify right side
    36,798x = 6,514,911,225
  5. Step 5: Solve for x
    x = 6,514,911,225/36,798
  6. Step 6: Final answer
    x = 177,045.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.