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Finding the Third Proportional to 10,699.13 and 23,857

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Solution

The third proportional to 10,699.13 and 23,857 is: 53,196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.13 : 23,857 = 23,857 : x
  2. Step 2: Convert to fraction form
    10,699.13/23,857 = 23,857/x
  3. Step 3: Cross multiply
    10,699.13x = 23,857 × 23,857
  4. Step 4: Simplify right side
    10,699.13x = 569,156,449
  5. Step 5: Solve for x
    x = 569,156,449/10,699.13
  6. Step 6: Final answer
    x = 53,196.54

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.