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Finding the Third Proportional to 15.47 and 32.16

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Solution

The third proportional to 15.47 and 32.16 is: 66.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.47 : 32.16 = 32.16 : x
  2. Step 2: Convert to fraction form
    15.47/32.16 = 32.16/x
  3. Step 3: Cross multiply
    15.47x = 32.16 × 32.16
  4. Step 4: Simplify right side
    15.47x = 1,034.02
  5. Step 5: Solve for x
    x = 1,034.02/15.47
  6. Step 6: Final answer
    x = 66.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.