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Finding the Third Proportional to 13,213.13 and 21,006.84

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Solution

The third proportional to 13,213.13 and 21,006.84 is: 33,397.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.13 : 21,006.84 = 21,006.84 : x
  2. Step 2: Convert to fraction form
    13,213.13/21,006.84 = 21,006.84/x
  3. Step 3: Cross multiply
    13,213.13x = 21,006.84 × 21,006.84
  4. Step 4: Simplify right side
    13,213.13x = 441,287,484.34
  5. Step 5: Solve for x
    x = 441,287,484.34/13,213.13
  6. Step 6: Final answer
    x = 33,397.66

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.