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Finding the Third Proportional to 47,066 and 67,999

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Solution

The third proportional to 47,066 and 67,999 is: 98,242.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,066 : 67,999 = 67,999 : x
  2. Step 2: Convert to fraction form
    47,066/67,999 = 67,999/x
  3. Step 3: Cross multiply
    47,066x = 67,999 × 67,999
  4. Step 4: Simplify right side
    47,066x = 4,623,864,001
  5. Step 5: Solve for x
    x = 4,623,864,001/47,066
  6. Step 6: Final answer
    x = 98,242.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.