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Finding the Third Proportional to 40.63 and 60.31

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Solution

The third proportional to 40.63 and 60.31 is: 89.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.63 : 60.31 = 60.31 : x
  2. Step 2: Convert to fraction form
    40.63/60.31 = 60.31/x
  3. Step 3: Cross multiply
    40.63x = 60.31 × 60.31
  4. Step 4: Simplify right side
    40.63x = 3,637.60
  5. Step 5: Solve for x
    x = 3,637.60/40.63
  6. Step 6: Final answer
    x = 89.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.