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Finding the Third Proportional to 24,834 and 34,740

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Solution

The third proportional to 24,834 and 34,740 is: 48,597.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,834 : 34,740 = 34,740 : x
  2. Step 2: Convert to fraction form
    24,834/34,740 = 34,740/x
  3. Step 3: Cross multiply
    24,834x = 34,740 × 34,740
  4. Step 4: Simplify right side
    24,834x = 1,206,867,600
  5. Step 5: Solve for x
    x = 1,206,867,600/24,834
  6. Step 6: Final answer
    x = 48,597.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.