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Finding the Third Proportional to 47,954.25 and 75,224.25

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Solution

The third proportional to 47,954.25 and 75,224.25 is: 118,001.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,954.25 : 75,224.25 = 75,224.25 : x
  2. Step 2: Convert to fraction form
    47,954.25/75,224.25 = 75,224.25/x
  3. Step 3: Cross multiply
    47,954.25x = 75,224.25 × 75,224.25
  4. Step 4: Simplify right side
    47,954.25x = 5,658,687,788.06
  5. Step 5: Solve for x
    x = 5,658,687,788.06/47,954.25
  6. Step 6: Final answer
    x = 118,001.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.