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Finding the Third Proportional to 24,756 and 36,582

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Solution

The third proportional to 24,756 and 36,582 is: 54,057.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,756 : 36,582 = 36,582 : x
  2. Step 2: Convert to fraction form
    24,756/36,582 = 36,582/x
  3. Step 3: Cross multiply
    24,756x = 36,582 × 36,582
  4. Step 4: Simplify right side
    24,756x = 1,338,242,724
  5. Step 5: Solve for x
    x = 1,338,242,724/24,756
  6. Step 6: Final answer
    x = 54,057.31

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.