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Finding the Third Proportional to 29,025 and 61,845

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Solution

The third proportional to 29,025 and 61,845 is: 131,776.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,025 : 61,845 = 61,845 : x
  2. Step 2: Convert to fraction form
    29,025/61,845 = 61,845/x
  3. Step 3: Cross multiply
    29,025x = 61,845 × 61,845
  4. Step 4: Simplify right side
    29,025x = 3,824,804,025
  5. Step 5: Solve for x
    x = 3,824,804,025/29,025
  6. Step 6: Final answer
    x = 131,776.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.