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Finding the Third Proportional to 29,840 and 43,755

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Solution

The third proportional to 29,840 and 43,755 is: 64,158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,840 : 43,755 = 43,755 : x
  2. Step 2: Convert to fraction form
    29,840/43,755 = 43,755/x
  3. Step 3: Cross multiply
    29,840x = 43,755 × 43,755
  4. Step 4: Simplify right side
    29,840x = 1,914,500,025
  5. Step 5: Solve for x
    x = 1,914,500,025/29,840
  6. Step 6: Final answer
    x = 64,158.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.