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Finding the Third Proportional to 30,223.13 and 66,475.69

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Solution

The third proportional to 30,223.13 and 66,475.69 is: 146,213.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,223.13 : 66,475.69 = 66,475.69 : x
  2. Step 2: Convert to fraction form
    30,223.13/66,475.69 = 66,475.69/x
  3. Step 3: Cross multiply
    30,223.13x = 66,475.69 × 66,475.69
  4. Step 4: Simplify right side
    30,223.13x = 4,419,017,028.60
  5. Step 5: Solve for x
    x = 4,419,017,028.60/30,223.13
  6. Step 6: Final answer
    x = 146,213.11

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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.