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Finding the Third Proportional to 49,393.31 and 70,588.42

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Solution

The third proportional to 49,393.31 and 70,588.42 is: 100,878.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,393.31 : 70,588.42 = 70,588.42 : x
  2. Step 2: Convert to fraction form
    49,393.31/70,588.42 = 70,588.42/x
  3. Step 3: Cross multiply
    49,393.31x = 70,588.42 × 70,588.42
  4. Step 4: Simplify right side
    49,393.31x = 4,982,724,337.73
  5. Step 5: Solve for x
    x = 4,982,724,337.73/49,393.31
  6. Step 6: Final answer
    x = 100,878.53

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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.