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Finding the Third Proportional to 46 and 53.25

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Solution

The third proportional to 46 and 53.25 is: 61.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46 : 53.25 = 53.25 : x
  2. Step 2: Convert to fraction form
    46/53.25 = 53.25/x
  3. Step 3: Cross multiply
    46x = 53.25 × 53.25
  4. Step 4: Simplify right side
    46x = 2,835.56
  5. Step 5: Solve for x
    x = 2,835.56/46
  6. Step 6: Final answer
    x = 61.64

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.