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Finding the Third Proportional to 47.63 and 53.91

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Solution

The third proportional to 47.63 and 53.91 is: 61.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.63 : 53.91 = 53.91 : x
  2. Step 2: Convert to fraction form
    47.63/53.91 = 53.91/x
  3. Step 3: Cross multiply
    47.63x = 53.91 × 53.91
  4. Step 4: Simplify right side
    47.63x = 2,905.88
  5. Step 5: Solve for x
    x = 2,905.88/47.63
  6. Step 6: Final answer
    x = 61.02

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.