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Finding the Third Proportional to 29,860.31 and 45,172.69

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Solution

The third proportional to 29,860.31 and 45,172.69 is: 68,337.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,860.31 : 45,172.69 = 45,172.69 : x
  2. Step 2: Convert to fraction form
    29,860.31/45,172.69 = 45,172.69/x
  3. Step 3: Cross multiply
    29,860.31x = 45,172.69 × 45,172.69
  4. Step 4: Simplify right side
    29,860.31x = 2,040,571,695.97
  5. Step 5: Solve for x
    x = 2,040,571,695.97/29,860.31
  6. Step 6: Final answer
    x = 68,337.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.