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Finding the Third Proportional to 42.84 and 62.76

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Solution

The third proportional to 42.84 and 62.76 is: 91.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.84 : 62.76 = 62.76 : x
  2. Step 2: Convert to fraction form
    42.84/62.76 = 62.76/x
  3. Step 3: Cross multiply
    42.84x = 62.76 × 62.76
  4. Step 4: Simplify right side
    42.84x = 3,938.30
  5. Step 5: Solve for x
    x = 3,938.30/42.84
  6. Step 6: Final answer
    x = 91.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.