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Finding the Third Proportional to 7,435.31 and 10,947.38

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Solution

The third proportional to 7,435.31 and 10,947.38 is: 16,118.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,435.31 : 10,947.38 = 10,947.38 : x
  2. Step 2: Convert to fraction form
    7,435.31/10,947.38 = 10,947.38/x
  3. Step 3: Cross multiply
    7,435.31x = 10,947.38 × 10,947.38
  4. Step 4: Simplify right side
    7,435.31x = 119,845,019.39
  5. Step 5: Solve for x
    x = 119,845,019.39/7,435.31
  6. Step 6: Final answer
    x = 16,118.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.