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Finding the Third Proportional to 24,183 and 36,284

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Solution

The third proportional to 24,183 and 36,284 is: 54,440.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,183 : 36,284 = 36,284 : x
  2. Step 2: Convert to fraction form
    24,183/36,284 = 36,284/x
  3. Step 3: Cross multiply
    24,183x = 36,284 × 36,284
  4. Step 4: Simplify right side
    24,183x = 1,316,528,656
  5. Step 5: Solve for x
    x = 1,316,528,656/24,183
  6. Step 6: Final answer
    x = 54,440.25

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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.