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Finding the Third Proportional to 47,963.75 and 75,076.50

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Solution

The third proportional to 47,963.75 and 75,076.50 is: 117,515.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,963.75 : 75,076.50 = 75,076.50 : x
  2. Step 2: Convert to fraction form
    47,963.75/75,076.50 = 75,076.50/x
  3. Step 3: Cross multiply
    47,963.75x = 75,076.50 × 75,076.50
  4. Step 4: Simplify right side
    47,963.75x = 5,636,480,852.25
  5. Step 5: Solve for x
    x = 5,636,480,852.25/47,963.75
  6. Step 6: Final answer
    x = 117,515.43

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