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Finding the Third Proportional to 22,176.75 and 47,907.75

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Solution

The third proportional to 22,176.75 and 47,907.75 is: 103,493.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,176.75 : 47,907.75 = 47,907.75 : x
  2. Step 2: Convert to fraction form
    22,176.75/47,907.75 = 47,907.75/x
  3. Step 3: Cross multiply
    22,176.75x = 47,907.75 × 47,907.75
  4. Step 4: Simplify right side
    22,176.75x = 2,295,152,510.06
  5. Step 5: Solve for x
    x = 2,295,152,510.06/22,176.75
  6. Step 6: Final answer
    x = 103,493.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.