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Finding the Third Proportional to 21,193 and 36,044

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Solution

The third proportional to 21,193 and 36,044 is: 61,301.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,193 : 36,044 = 36,044 : x
  2. Step 2: Convert to fraction form
    21,193/36,044 = 36,044/x
  3. Step 3: Cross multiply
    21,193x = 36,044 × 36,044
  4. Step 4: Simplify right side
    21,193x = 1,299,169,936
  5. Step 5: Solve for x
    x = 1,299,169,936/21,193
  6. Step 6: Final answer
    x = 61,301.84

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.