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Finding the Third Proportional to 30.50 and 47.50

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Solution

The third proportional to 30.50 and 47.50 is: 73.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.50 : 47.50 = 47.50 : x
  2. Step 2: Convert to fraction form
    30.50/47.50 = 47.50/x
  3. Step 3: Cross multiply
    30.50x = 47.50 × 47.50
  4. Step 4: Simplify right side
    30.50x = 2,256.25
  5. Step 5: Solve for x
    x = 2,256.25/30.50
  6. Step 6: Final answer
    x = 73.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.