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Finding the Third Proportional to 24,615 and 35,829

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Solution

The third proportional to 24,615 and 35,829 is: 52,151.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,615 : 35,829 = 35,829 : x
  2. Step 2: Convert to fraction form
    24,615/35,829 = 35,829/x
  3. Step 3: Cross multiply
    24,615x = 35,829 × 35,829
  4. Step 4: Simplify right side
    24,615x = 1,283,717,241
  5. Step 5: Solve for x
    x = 1,283,717,241/24,615
  6. Step 6: Final answer
    x = 52,151.83

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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.