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Finding the Third Proportional to 49,591.50 and 70,696.50

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Solution

The third proportional to 49,591.50 and 70,696.50 is: 100,783.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,591.50 : 70,696.50 = 70,696.50 : x
  2. Step 2: Convert to fraction form
    49,591.50/70,696.50 = 70,696.50/x
  3. Step 3: Cross multiply
    49,591.50x = 70,696.50 × 70,696.50
  4. Step 4: Simplify right side
    49,591.50x = 4,997,995,112.25
  5. Step 5: Solve for x
    x = 4,997,995,112.25/49,591.50
  6. Step 6: Final answer
    x = 100,783.30

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.