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Finding the Third Proportional to 44,008.31 and 66,222.56

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Solution

The third proportional to 44,008.31 and 66,222.56 is: 99,649.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,008.31 : 66,222.56 = 66,222.56 : x
  2. Step 2: Convert to fraction form
    44,008.31/66,222.56 = 66,222.56/x
  3. Step 3: Cross multiply
    44,008.31x = 66,222.56 × 66,222.56
  4. Step 4: Simplify right side
    44,008.31x = 4,385,427,784.07
  5. Step 5: Solve for x
    x = 4,385,427,784.07/44,008.31
  6. Step 6: Final answer
    x = 99,649.99

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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.