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Finding the Third Proportional to 10,895.77 and 23,864.31

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Solution

The third proportional to 10,895.77 and 23,864.31 is: 52,268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,895.77 : 23,864.31 = 23,864.31 : x
  2. Step 2: Convert to fraction form
    10,895.77/23,864.31 = 23,864.31/x
  3. Step 3: Cross multiply
    10,895.77x = 23,864.31 × 23,864.31
  4. Step 4: Simplify right side
    10,895.77x = 569,505,224.66
  5. Step 5: Solve for x
    x = 569,505,224.66/10,895.77
  6. Step 6: Final answer
    x = 52,268.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.