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Finding the Third Proportional to 24,005 and 35,911

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Solution

The third proportional to 24,005 and 35,911 is: 53,722.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,005 : 35,911 = 35,911 : x
  2. Step 2: Convert to fraction form
    24,005/35,911 = 35,911/x
  3. Step 3: Cross multiply
    24,005x = 35,911 × 35,911
  4. Step 4: Simplify right side
    24,005x = 1,289,599,921
  5. Step 5: Solve for x
    x = 1,289,599,921/24,005
  6. Step 6: Final answer
    x = 53,722.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.