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Finding the Third Proportional to 11,971.13 and 21,664.13

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Solution

The third proportional to 11,971.13 and 21,664.13 is: 39,205.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.13 : 21,664.13 = 21,664.13 : x
  2. Step 2: Convert to fraction form
    11,971.13/21,664.13 = 21,664.13/x
  3. Step 3: Cross multiply
    11,971.13x = 21,664.13 × 21,664.13
  4. Step 4: Simplify right side
    11,971.13x = 469,334,312.02
  5. Step 5: Solve for x
    x = 469,334,312.02/11,971.13
  6. Step 6: Final answer
    x = 39,205.53

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.