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Finding the Third Proportional to 14,120.75 and 30,700.75

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Solution

The third proportional to 14,120.75 and 30,700.75 is: 66,748.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,120.75 : 30,700.75 = 30,700.75 : x
  2. Step 2: Convert to fraction form
    14,120.75/30,700.75 = 30,700.75/x
  3. Step 3: Cross multiply
    14,120.75x = 30,700.75 × 30,700.75
  4. Step 4: Simplify right side
    14,120.75x = 942,536,050.56
  5. Step 5: Solve for x
    x = 942,536,050.56/14,120.75
  6. Step 6: Final answer
    x = 66,748.30

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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.