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Finding the Third Proportional to 49,351.75 and 70,336.50

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Solution

The third proportional to 49,351.75 and 70,336.50 is: 100,244.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,351.75 : 70,336.50 = 70,336.50 : x
  2. Step 2: Convert to fraction form
    49,351.75/70,336.50 = 70,336.50/x
  3. Step 3: Cross multiply
    49,351.75x = 70,336.50 × 70,336.50
  4. Step 4: Simplify right side
    49,351.75x = 4,947,223,232.25
  5. Step 5: Solve for x
    x = 4,947,223,232.25/49,351.75
  6. Step 6: Final answer
    x = 100,244.13

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Why These Related Problems?

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