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Finding the Third Proportional to 24.35 and 52.98

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Solution

The third proportional to 24.35 and 52.98 is: 115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.35 : 52.98 = 52.98 : x
  2. Step 2: Convert to fraction form
    24.35/52.98 = 52.98/x
  3. Step 3: Cross multiply
    24.35x = 52.98 × 52.98
  4. Step 4: Simplify right side
    24.35x = 2,806.70
  5. Step 5: Solve for x
    x = 2,806.70/24.35
  6. Step 6: Final answer
    x = 115.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.