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Finding the Third Proportional to 24,216 and 36,685

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Solution

The third proportional to 24,216 and 36,685 is: 55,574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,216 : 36,685 = 36,685 : x
  2. Step 2: Convert to fraction form
    24,216/36,685 = 36,685/x
  3. Step 3: Cross multiply
    24,216x = 36,685 × 36,685
  4. Step 4: Simplify right side
    24,216x = 1,345,789,225
  5. Step 5: Solve for x
    x = 1,345,789,225/24,216
  6. Step 6: Final answer
    x = 55,574.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.