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Finding the Third Proportional to 47,798 and 66,853

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Solution

The third proportional to 47,798 and 66,853 is: 93,504.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,798 : 66,853 = 66,853 : x
  2. Step 2: Convert to fraction form
    47,798/66,853 = 66,853/x
  3. Step 3: Cross multiply
    47,798x = 66,853 × 66,853
  4. Step 4: Simplify right side
    47,798x = 4,469,323,609
  5. Step 5: Solve for x
    x = 4,469,323,609/47,798
  6. Step 6: Final answer
    x = 93,504.41

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.