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Finding the Third Proportional to 24,411 and 36,520

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Solution

The third proportional to 24,411 and 36,520 is: 54,635.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,411 : 36,520 = 36,520 : x
  2. Step 2: Convert to fraction form
    24,411/36,520 = 36,520/x
  3. Step 3: Cross multiply
    24,411x = 36,520 × 36,520
  4. Step 4: Simplify right side
    24,411x = 1,333,710,400
  5. Step 5: Solve for x
    x = 1,333,710,400/24,411
  6. Step 6: Final answer
    x = 54,635.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.