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Finding the Third Proportional to 50.47 and 83.30

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Solution

The third proportional to 50.47 and 83.30 is: 137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.47 : 83.30 = 83.30 : x
  2. Step 2: Convert to fraction form
    50.47/83.30 = 83.30/x
  3. Step 3: Cross multiply
    50.47x = 83.30 × 83.30
  4. Step 4: Simplify right side
    50.47x = 6,938.37
  5. Step 5: Solve for x
    x = 6,938.37/50.47
  6. Step 6: Final answer
    x = 137.48

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.