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Finding the Third Proportional to 44,438.63 and 66,475.69

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Solution

The third proportional to 44,438.63 and 66,475.69 is: 99,440.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,438.63 : 66,475.69 = 66,475.69 : x
  2. Step 2: Convert to fraction form
    44,438.63/66,475.69 = 66,475.69/x
  3. Step 3: Cross multiply
    44,438.63x = 66,475.69 × 66,475.69
  4. Step 4: Simplify right side
    44,438.63x = 4,419,017,028.60
  5. Step 5: Solve for x
    x = 4,419,017,028.60/44,438.63
  6. Step 6: Final answer
    x = 99,440.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.