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Finding the Third Proportional to 32.70 and 49.57

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Solution

The third proportional to 32.70 and 49.57 is: 75.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.70 : 49.57 = 49.57 : x
  2. Step 2: Convert to fraction form
    32.70/49.57 = 49.57/x
  3. Step 3: Cross multiply
    32.70x = 49.57 × 49.57
  4. Step 4: Simplify right side
    32.70x = 2,457.22
  5. Step 5: Solve for x
    x = 2,457.22/32.70
  6. Step 6: Final answer
    x = 75.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.