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Finding the Third Proportional to 24,284 and 52,841

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Solution

The third proportional to 24,284 and 52,841 is: 114,979.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,284 : 52,841 = 52,841 : x
  2. Step 2: Convert to fraction form
    24,284/52,841 = 52,841/x
  3. Step 3: Cross multiply
    24,284x = 52,841 × 52,841
  4. Step 4: Simplify right side
    24,284x = 2,792,171,281
  5. Step 5: Solve for x
    x = 2,792,171,281/24,284
  6. Step 6: Final answer
    x = 114,979.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.