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Finding the Third Proportional to 47.63 and 88.69

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Solution

The third proportional to 47.63 and 88.69 is: 165.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.63 : 88.69 = 88.69 : x
  2. Step 2: Convert to fraction form
    47.63/88.69 = 88.69/x
  3. Step 3: Cross multiply
    47.63x = 88.69 × 88.69
  4. Step 4: Simplify right side
    47.63x = 7,865.47
  5. Step 5: Solve for x
    x = 7,865.47/47.63
  6. Step 6: Final answer
    x = 165.15

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.