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Finding the Third Proportional to 32.51 and 49.32

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Solution

The third proportional to 32.51 and 49.32 is: 74.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.51 : 49.32 = 49.32 : x
  2. Step 2: Convert to fraction form
    32.51/49.32 = 49.32/x
  3. Step 3: Cross multiply
    32.51x = 49.32 × 49.32
  4. Step 4: Simplify right side
    32.51x = 2,432.45
  5. Step 5: Solve for x
    x = 2,432.45/32.51
  6. Step 6: Final answer
    x = 74.82

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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.