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Finding the Third Proportional to 29,703 and 44,555

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Solution

The third proportional to 29,703 and 44,555 is: 66,833.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,703 : 44,555 = 44,555 : x
  2. Step 2: Convert to fraction form
    29,703/44,555 = 44,555/x
  3. Step 3: Cross multiply
    29,703x = 44,555 × 44,555
  4. Step 4: Simplify right side
    29,703x = 1,985,148,025
  5. Step 5: Solve for x
    x = 1,985,148,025/29,703
  6. Step 6: Final answer
    x = 66,833.25

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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.