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Finding the Third Proportional to 24,520 and 34,296

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Solution

The third proportional to 24,520 and 34,296 is: 47,969.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,520 : 34,296 = 34,296 : x
  2. Step 2: Convert to fraction form
    24,520/34,296 = 34,296/x
  3. Step 3: Cross multiply
    24,520x = 34,296 × 34,296
  4. Step 4: Simplify right side
    24,520x = 1,176,215,616
  5. Step 5: Solve for x
    x = 1,176,215,616/24,520
  6. Step 6: Final answer
    x = 47,969.64

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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.