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Finding the Third Proportional to 10,947.94 and 22,674.38

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Solution

The third proportional to 10,947.94 and 22,674.38 is: 46,961.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,947.94 : 22,674.38 = 22,674.38 : x
  2. Step 2: Convert to fraction form
    10,947.94/22,674.38 = 22,674.38/x
  3. Step 3: Cross multiply
    10,947.94x = 22,674.38 × 22,674.38
  4. Step 4: Simplify right side
    10,947.94x = 514,127,281.64
  5. Step 5: Solve for x
    x = 514,127,281.64/10,947.94
  6. Step 6: Final answer
    x = 46,961.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.