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Finding the Third Proportional to 47.95 and 88.97

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Solution

The third proportional to 47.95 and 88.97 is: 165.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.95 : 88.97 = 88.97 : x
  2. Step 2: Convert to fraction form
    47.95/88.97 = 88.97/x
  3. Step 3: Cross multiply
    47.95x = 88.97 × 88.97
  4. Step 4: Simplify right side
    47.95x = 7,916.41
  5. Step 5: Solve for x
    x = 7,916.41/47.95
  6. Step 6: Final answer
    x = 165.11

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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.