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Finding the Third Proportional to 32.58 and 46.95

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Solution

The third proportional to 32.58 and 46.95 is: 67.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.58 : 46.95 = 46.95 : x
  2. Step 2: Convert to fraction form
    32.58/46.95 = 46.95/x
  3. Step 3: Cross multiply
    32.58x = 46.95 × 46.95
  4. Step 4: Simplify right side
    32.58x = 2,203.86
  5. Step 5: Solve for x
    x = 2,203.86/32.58
  6. Step 6: Final answer
    x = 67.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.