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Finding the Third Proportional to 47.46 and 65.39

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Solution

The third proportional to 47.46 and 65.39 is: 90.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.46 : 65.39 = 65.39 : x
  2. Step 2: Convert to fraction form
    47.46/65.39 = 65.39/x
  3. Step 3: Cross multiply
    47.46x = 65.39 × 65.39
  4. Step 4: Simplify right side
    47.46x = 4,275.93
  5. Step 5: Solve for x
    x = 4,275.93/47.46
  6. Step 6: Final answer
    x = 90.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.