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Finding the Third Proportional to 10,184 and 22,555

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Solution

The third proportional to 10,184 and 22,555 is: 49,953.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,184 : 22,555 = 22,555 : x
  2. Step 2: Convert to fraction form
    10,184/22,555 = 22,555/x
  3. Step 3: Cross multiply
    10,184x = 22,555 × 22,555
  4. Step 4: Simplify right side
    10,184x = 508,728,025
  5. Step 5: Solve for x
    x = 508,728,025/10,184
  6. Step 6: Final answer
    x = 49,953.66

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.