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Finding the Third Proportional to 60.84 and 84.52

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Solution

The third proportional to 60.84 and 84.52 is: 117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.84 : 84.52 = 84.52 : x
  2. Step 2: Convert to fraction form
    60.84/84.52 = 84.52/x
  3. Step 3: Cross multiply
    60.84x = 84.52 × 84.52
  4. Step 4: Simplify right side
    60.84x = 7,142.89
  5. Step 5: Solve for x
    x = 7,142.89/60.84
  6. Step 6: Final answer
    x = 117.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.