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Finding the Third Proportional to 43,873 and 95,033

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Solution

The third proportional to 43,873 and 95,033 is: 205,850.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,873 : 95,033 = 95,033 : x
  2. Step 2: Convert to fraction form
    43,873/95,033 = 95,033/x
  3. Step 3: Cross multiply
    43,873x = 95,033 × 95,033
  4. Step 4: Simplify right side
    43,873x = 9,031,271,089
  5. Step 5: Solve for x
    x = 9,031,271,089/43,873
  6. Step 6: Final answer
    x = 205,850.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.