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Finding the Third Proportional to 29,820 and 43,698

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Solution

The third proportional to 29,820 and 43,698 is: 64,034.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,820 : 43,698 = 43,698 : x
  2. Step 2: Convert to fraction form
    29,820/43,698 = 43,698/x
  3. Step 3: Cross multiply
    29,820x = 43,698 × 43,698
  4. Step 4: Simplify right side
    29,820x = 1,909,515,204
  5. Step 5: Solve for x
    x = 1,909,515,204/29,820
  6. Step 6: Final answer
    x = 64,034.72

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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.