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Finding the Third Proportional to 28,374 and 61,663

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Solution

The third proportional to 28,374 and 61,663 is: 134,007.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,374 : 61,663 = 61,663 : x
  2. Step 2: Convert to fraction form
    28,374/61,663 = 61,663/x
  3. Step 3: Cross multiply
    28,374x = 61,663 × 61,663
  4. Step 4: Simplify right side
    28,374x = 3,802,325,569
  5. Step 5: Solve for x
    x = 3,802,325,569/28,374
  6. Step 6: Final answer
    x = 134,007.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.