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Finding the Third Proportional to 14,102.25 and 30,663

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Solution

The third proportional to 14,102.25 and 30,663 is: 66,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.25 : 30,663 = 30,663 : x
  2. Step 2: Convert to fraction form
    14,102.25/30,663 = 30,663/x
  3. Step 3: Cross multiply
    14,102.25x = 30,663 × 30,663
  4. Step 4: Simplify right side
    14,102.25x = 940,219,569
  5. Step 5: Solve for x
    x = 940,219,569/14,102.25
  6. Step 6: Final answer
    x = 66,671.60

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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.