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Finding the Third Proportional to 10,947.66 and 23,641.88

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Solution

The third proportional to 10,947.66 and 23,641.88 is: 51,055.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,947.66 : 23,641.88 = 23,641.88 : x
  2. Step 2: Convert to fraction form
    10,947.66/23,641.88 = 23,641.88/x
  3. Step 3: Cross multiply
    10,947.66x = 23,641.88 × 23,641.88
  4. Step 4: Simplify right side
    10,947.66x = 558,938,253.52
  5. Step 5: Solve for x
    x = 558,938,253.52/10,947.66
  6. Step 6: Final answer
    x = 51,055.52

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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.