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Finding the Third Proportional to 53.63 and 57

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Solution

The third proportional to 53.63 and 57 is: 60.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.63 : 57 = 57 : x
  2. Step 2: Convert to fraction form
    53.63/57 = 57/x
  3. Step 3: Cross multiply
    53.63x = 57 × 57
  4. Step 4: Simplify right side
    53.63x = 3,249
  5. Step 5: Solve for x
    x = 3,249/53.63
  6. Step 6: Final answer
    x = 60.59

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.