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Finding the Third Proportional to 24,827 and 34,729

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Solution

The third proportional to 24,827 and 34,729 is: 48,580.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,827 : 34,729 = 34,729 : x
  2. Step 2: Convert to fraction form
    24,827/34,729 = 34,729/x
  3. Step 3: Cross multiply
    24,827x = 34,729 × 34,729
  4. Step 4: Simplify right side
    24,827x = 1,206,103,441
  5. Step 5: Solve for x
    x = 1,206,103,441/24,827
  6. Step 6: Final answer
    x = 48,580.31

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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.