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Finding the Third Proportional to 49,380 and 70,563.75

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Solution

The third proportional to 49,380 and 70,563.75 is: 100,835.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,380 : 70,563.75 = 70,563.75 : x
  2. Step 2: Convert to fraction form
    49,380/70,563.75 = 70,563.75/x
  3. Step 3: Cross multiply
    49,380x = 70,563.75 × 70,563.75
  4. Step 4: Simplify right side
    49,380x = 4,979,242,814.06
  5. Step 5: Solve for x
    x = 4,979,242,814.06/49,380
  6. Step 6: Final answer
    x = 100,835.21

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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.