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Finding the Third Proportional to 32.16 and 49.47

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Solution

The third proportional to 32.16 and 49.47 is: 76.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.16 : 49.47 = 49.47 : x
  2. Step 2: Convert to fraction form
    32.16/49.47 = 49.47/x
  3. Step 3: Cross multiply
    32.16x = 49.47 × 49.47
  4. Step 4: Simplify right side
    32.16x = 2,447.16
  5. Step 5: Solve for x
    x = 2,447.16/32.16
  6. Step 6: Final answer
    x = 76.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.