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Finding the Third Proportional to 29,957 and 45,845

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Solution

The third proportional to 29,957 and 45,845 is: 70,159.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,957 : 45,845 = 45,845 : x
  2. Step 2: Convert to fraction form
    29,957/45,845 = 45,845/x
  3. Step 3: Cross multiply
    29,957x = 45,845 × 45,845
  4. Step 4: Simplify right side
    29,957x = 2,101,764,025
  5. Step 5: Solve for x
    x = 2,101,764,025/29,957
  6. Step 6: Final answer
    x = 70,159.36

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.