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Finding the Third Proportional to 52 and 53.50

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Solution

The third proportional to 52 and 53.50 is: 55.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52 : 53.50 = 53.50 : x
  2. Step 2: Convert to fraction form
    52/53.50 = 53.50/x
  3. Step 3: Cross multiply
    52x = 53.50 × 53.50
  4. Step 4: Simplify right side
    52x = 2,862.25
  5. Step 5: Solve for x
    x = 2,862.25/52
  6. Step 6: Final answer
    x = 55.04

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.