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Finding the Third Proportional to 24,336 and 34,476

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Solution

The third proportional to 24,336 and 34,476 is: 48,841

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,336 : 34,476 = 34,476 : x
  2. Step 2: Convert to fraction form
    24,336/34,476 = 34,476/x
  3. Step 3: Cross multiply
    24,336x = 34,476 × 34,476
  4. Step 4: Simplify right side
    24,336x = 1,188,594,576
  5. Step 5: Solve for x
    x = 1,188,594,576/24,336
  6. Step 6: Final answer
    x = 48,841

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.