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Finding the Third Proportional to 51.84 and 70.59

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Solution

The third proportional to 51.84 and 70.59 is: 96.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.84 : 70.59 = 70.59 : x
  2. Step 2: Convert to fraction form
    51.84/70.59 = 70.59/x
  3. Step 3: Cross multiply
    51.84x = 70.59 × 70.59
  4. Step 4: Simplify right side
    51.84x = 4,983.48
  5. Step 5: Solve for x
    x = 4,983.48/51.84
  6. Step 6: Final answer
    x = 96.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.