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Finding the Third Proportional to 57.19 and 77.53

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Solution

The third proportional to 57.19 and 77.53 is: 105.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.19 : 77.53 = 77.53 : x
  2. Step 2: Convert to fraction form
    57.19/77.53 = 77.53/x
  3. Step 3: Cross multiply
    57.19x = 77.53 × 77.53
  4. Step 4: Simplify right side
    57.19x = 6,011.09
  5. Step 5: Solve for x
    x = 6,011.09/57.19
  6. Step 6: Final answer
    x = 105.11

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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.