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Finding the Third Proportional to 24,175 and 35,211

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Solution

The third proportional to 24,175 and 35,211 is: 51,284.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,175 : 35,211 = 35,211 : x
  2. Step 2: Convert to fraction form
    24,175/35,211 = 35,211/x
  3. Step 3: Cross multiply
    24,175x = 35,211 × 35,211
  4. Step 4: Simplify right side
    24,175x = 1,239,814,521
  5. Step 5: Solve for x
    x = 1,239,814,521/24,175
  6. Step 6: Final answer
    x = 51,284.99

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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.