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Finding the Third Proportional to 24.88 and 35.50

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Solution

The third proportional to 24.88 and 35.50 is: 50.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.88 : 35.50 = 35.50 : x
  2. Step 2: Convert to fraction form
    24.88/35.50 = 35.50/x
  3. Step 3: Cross multiply
    24.88x = 35.50 × 35.50
  4. Step 4: Simplify right side
    24.88x = 1,260.25
  5. Step 5: Solve for x
    x = 1,260.25/24.88
  6. Step 6: Final answer
    x = 50.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.