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Finding the Third Proportional to 21,945.94 and 23,905.13

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Solution

The third proportional to 21,945.94 and 23,905.13 is: 26,039.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,945.94 : 23,905.13 = 23,905.13 : x
  2. Step 2: Convert to fraction form
    21,945.94/23,905.13 = 23,905.13/x
  3. Step 3: Cross multiply
    21,945.94x = 23,905.13 × 23,905.13
  4. Step 4: Simplify right side
    21,945.94x = 571,455,001.27
  5. Step 5: Solve for x
    x = 571,455,001.27/21,945.94
  6. Step 6: Final answer
    x = 26,039.22

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.