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Finding the Third Proportional to 21,664.13 and 47,233.13

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Solution

The third proportional to 21,664.13 and 47,233.13 is: 102,979.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,664.13 : 47,233.13 = 47,233.13 : x
  2. Step 2: Convert to fraction form
    21,664.13/47,233.13 = 47,233.13/x
  3. Step 3: Cross multiply
    21,664.13x = 47,233.13 × 47,233.13
  4. Step 4: Simplify right side
    21,664.13x = 2,230,968,097.27
  5. Step 5: Solve for x
    x = 2,230,968,097.27/21,664.13
  6. Step 6: Final answer
    x = 102,979.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.