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Finding the Third Proportional to 39.16 and 60.53

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Solution

The third proportional to 39.16 and 60.53 is: 93.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.16 : 60.53 = 60.53 : x
  2. Step 2: Convert to fraction form
    39.16/60.53 = 60.53/x
  3. Step 3: Cross multiply
    39.16x = 60.53 × 60.53
  4. Step 4: Simplify right side
    39.16x = 3,664.03
  5. Step 5: Solve for x
    x = 3,664.03/39.16
  6. Step 6: Final answer
    x = 93.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.