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Finding the Third Proportional to 24,816 and 51,637

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Solution

The third proportional to 24,816 and 51,637 is: 107,445.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,816 : 51,637 = 51,637 : x
  2. Step 2: Convert to fraction form
    24,816/51,637 = 51,637/x
  3. Step 3: Cross multiply
    24,816x = 51,637 × 51,637
  4. Step 4: Simplify right side
    24,816x = 2,666,379,769
  5. Step 5: Solve for x
    x = 2,666,379,769/24,816
  6. Step 6: Final answer
    x = 107,445.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.