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Finding the Third Proportional to 24,120 and 35,288

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Solution

The third proportional to 24,120 and 35,288 is: 51,626.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,120 : 35,288 = 35,288 : x
  2. Step 2: Convert to fraction form
    24,120/35,288 = 35,288/x
  3. Step 3: Cross multiply
    24,120x = 35,288 × 35,288
  4. Step 4: Simplify right side
    24,120x = 1,245,242,944
  5. Step 5: Solve for x
    x = 1,245,242,944/24,120
  6. Step 6: Final answer
    x = 51,626.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.