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Finding the Third Proportional to 23,284 and 49,328

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Solution

The third proportional to 23,284 and 49,328 is: 104,503.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,284 : 49,328 = 49,328 : x
  2. Step 2: Convert to fraction form
    23,284/49,328 = 49,328/x
  3. Step 3: Cross multiply
    23,284x = 49,328 × 49,328
  4. Step 4: Simplify right side
    23,284x = 2,433,251,584
  5. Step 5: Solve for x
    x = 2,433,251,584/23,284
  6. Step 6: Final answer
    x = 104,503.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.