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Finding the Third Proportional to 10,972.13 and 23,699.25

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Solution

The third proportional to 10,972.13 and 23,699.25 is: 51,189.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,972.13 : 23,699.25 = 23,699.25 : x
  2. Step 2: Convert to fraction form
    10,972.13/23,699.25 = 23,699.25/x
  3. Step 3: Cross multiply
    10,972.13x = 23,699.25 × 23,699.25
  4. Step 4: Simplify right side
    10,972.13x = 561,654,450.56
  5. Step 5: Solve for x
    x = 561,654,450.56/10,972.13
  6. Step 6: Final answer
    x = 51,189.21

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.