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Finding the Third Proportional to 29,425.31 and 44,204.06

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Solution

The third proportional to 29,425.31 and 44,204.06 is: 66,405.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,425.31 : 44,204.06 = 44,204.06 : x
  2. Step 2: Convert to fraction form
    29,425.31/44,204.06 = 44,204.06/x
  3. Step 3: Cross multiply
    29,425.31x = 44,204.06 × 44,204.06
  4. Step 4: Simplify right side
    29,425.31x = 1,953,999,141.50
  5. Step 5: Solve for x
    x = 1,953,999,141.50/29,425.31
  6. Step 6: Final answer
    x = 66,405.38

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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.