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Finding the Third Proportional to 43,174.31 and 66,607.13

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Solution

The third proportional to 43,174.31 and 66,607.13 is: 102,758.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,174.31 : 66,607.13 = 66,607.13 : x
  2. Step 2: Convert to fraction form
    43,174.31/66,607.13 = 66,607.13/x
  3. Step 3: Cross multiply
    43,174.31x = 66,607.13 × 66,607.13
  4. Step 4: Simplify right side
    43,174.31x = 4,436,509,100.77
  5. Step 5: Solve for x
    x = 4,436,509,100.77/43,174.31
  6. Step 6: Final answer
    x = 102,758.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.