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Finding the Third Proportional to 29,732 and 44,601

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Solution

The third proportional to 29,732 and 44,601 is: 66,906.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,732 : 44,601 = 44,601 : x
  2. Step 2: Convert to fraction form
    29,732/44,601 = 44,601/x
  3. Step 3: Cross multiply
    29,732x = 44,601 × 44,601
  4. Step 4: Simplify right side
    29,732x = 1,989,249,201
  5. Step 5: Solve for x
    x = 1,989,249,201/29,732
  6. Step 6: Final answer
    x = 66,906.00

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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.