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Finding the Third Proportional to 29,868 and 43,937

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Solution

The third proportional to 29,868 and 43,937 is: 64,633.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,868 : 43,937 = 43,937 : x
  2. Step 2: Convert to fraction form
    29,868/43,937 = 43,937/x
  3. Step 3: Cross multiply
    29,868x = 43,937 × 43,937
  4. Step 4: Simplify right side
    29,868x = 1,930,459,969
  5. Step 5: Solve for x
    x = 1,930,459,969/29,868
  6. Step 6: Final answer
    x = 64,633.05

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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.