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Finding the Third Proportional to 47,988 and 101,824

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Solution

The third proportional to 47,988 and 101,824 is: 216,056.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,988 : 101,824 = 101,824 : x
  2. Step 2: Convert to fraction form
    47,988/101,824 = 101,824/x
  3. Step 3: Cross multiply
    47,988x = 101,824 × 101,824
  4. Step 4: Simplify right side
    47,988x = 10,368,126,976
  5. Step 5: Solve for x
    x = 10,368,126,976/47,988
  6. Step 6: Final answer
    x = 216,056.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.