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Finding the Third Proportional to 14,099.25 and 30,657

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Solution

The third proportional to 14,099.25 and 30,657 is: 66,659.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,099.25 : 30,657 = 30,657 : x
  2. Step 2: Convert to fraction form
    14,099.25/30,657 = 30,657/x
  3. Step 3: Cross multiply
    14,099.25x = 30,657 × 30,657
  4. Step 4: Simplify right side
    14,099.25x = 939,851,649
  5. Step 5: Solve for x
    x = 939,851,649/14,099.25
  6. Step 6: Final answer
    x = 66,659.69

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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.