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Finding the Third Proportional to 10,947.94 and 23,810.06

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Solution

The third proportional to 10,947.94 and 23,810.06 is: 51,783.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,947.94 : 23,810.06 = 23,810.06 : x
  2. Step 2: Convert to fraction form
    10,947.94/23,810.06 = 23,810.06/x
  3. Step 3: Cross multiply
    10,947.94x = 23,810.06 × 23,810.06
  4. Step 4: Simplify right side
    10,947.94x = 566,919,076.25
  5. Step 5: Solve for x
    x = 566,919,076.25/10,947.94
  6. Step 6: Final answer
    x = 51,783.19

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.