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Finding the Third Proportional to 21,665 and 47,033

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Solution

The third proportional to 21,665 and 47,033 is: 102,104.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,665 : 47,033 = 47,033 : x
  2. Step 2: Convert to fraction form
    21,665/47,033 = 47,033/x
  3. Step 3: Cross multiply
    21,665x = 47,033 × 47,033
  4. Step 4: Simplify right side
    21,665x = 2,212,103,089
  5. Step 5: Solve for x
    x = 2,212,103,089/21,665
  6. Step 6: Final answer
    x = 102,104.92

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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.