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Finding the Third Proportional to 16.63 and 32.07

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Solution

The third proportional to 16.63 and 32.07 is: 61.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.63 : 32.07 = 32.07 : x
  2. Step 2: Convert to fraction form
    16.63/32.07 = 32.07/x
  3. Step 3: Cross multiply
    16.63x = 32.07 × 32.07
  4. Step 4: Simplify right side
    16.63x = 1,028.29
  5. Step 5: Solve for x
    x = 1,028.29/16.63
  6. Step 6: Final answer
    x = 61.84

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.