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Finding the Third Proportional to 14,052.75 and 30,693

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Solution

The third proportional to 14,052.75 and 30,693 is: 67,037.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,052.75 : 30,693 = 30,693 : x
  2. Step 2: Convert to fraction form
    14,052.75/30,693 = 30,693/x
  3. Step 3: Cross multiply
    14,052.75x = 30,693 × 30,693
  4. Step 4: Simplify right side
    14,052.75x = 942,060,249
  5. Step 5: Solve for x
    x = 942,060,249/14,052.75
  6. Step 6: Final answer
    x = 67,037.43

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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.