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Finding the Third Proportional to 30,163.75 and 66,250.63

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Solution

The third proportional to 30,163.75 and 66,250.63 is: 145,510.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,163.75 : 66,250.63 = 66,250.63 : x
  2. Step 2: Convert to fraction form
    30,163.75/66,250.63 = 66,250.63/x
  3. Step 3: Cross multiply
    30,163.75x = 66,250.63 × 66,250.63
  4. Step 4: Simplify right side
    30,163.75x = 4,389,145,312.89
  5. Step 5: Solve for x
    x = 4,389,145,312.89/30,163.75
  6. Step 6: Final answer
    x = 145,510.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.