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Finding the Third Proportional to 24,122 and 35,291

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Solution

The third proportional to 24,122 and 35,291 is: 51,631.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,122 : 35,291 = 35,291 : x
  2. Step 2: Convert to fraction form
    24,122/35,291 = 35,291/x
  3. Step 3: Cross multiply
    24,122x = 35,291 × 35,291
  4. Step 4: Simplify right side
    24,122x = 1,245,454,681
  5. Step 5: Solve for x
    x = 1,245,454,681/24,122
  6. Step 6: Final answer
    x = 51,631.48

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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.