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Finding the Third Proportional to 53.75 and 59.94

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Solution

The third proportional to 53.75 and 59.94 is: 66.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.75 : 59.94 = 59.94 : x
  2. Step 2: Convert to fraction form
    53.75/59.94 = 59.94/x
  3. Step 3: Cross multiply
    53.75x = 59.94 × 59.94
  4. Step 4: Simplify right side
    53.75x = 3,592.50
  5. Step 5: Solve for x
    x = 3,592.50/53.75
  6. Step 6: Final answer
    x = 66.84

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.