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Finding the Third Proportional to 53.37 and 72.46

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Solution

The third proportional to 53.37 and 72.46 is: 98.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.37 : 72.46 = 72.46 : x
  2. Step 2: Convert to fraction form
    53.37/72.46 = 72.46/x
  3. Step 3: Cross multiply
    53.37x = 72.46 × 72.46
  4. Step 4: Simplify right side
    53.37x = 5,250.02
  5. Step 5: Solve for x
    x = 5,250.02/53.37
  6. Step 6: Final answer
    x = 98.38

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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.