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Finding the Third Proportional to 24 and 52.50

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Solution

The third proportional to 24 and 52.50 is: 114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24 : 52.50 = 52.50 : x
  2. Step 2: Convert to fraction form
    24/52.50 = 52.50/x
  3. Step 3: Cross multiply
    24x = 52.50 × 52.50
  4. Step 4: Simplify right side
    24x = 2,756.25
  5. Step 5: Solve for x
    x = 2,756.25/24
  6. Step 6: Final answer
    x = 114.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.