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Finding the Third Proportional to 8,947.13 and 13,660.31

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Solution

The third proportional to 8,947.13 and 13,660.31 is: 20,856.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.13 : 13,660.31 = 13,660.31 : x
  2. Step 2: Convert to fraction form
    8,947.13/13,660.31 = 13,660.31/x
  3. Step 3: Cross multiply
    8,947.13x = 13,660.31 × 13,660.31
  4. Step 4: Simplify right side
    8,947.13x = 186,604,137.60
  5. Step 5: Solve for x
    x = 186,604,137.60/8,947.13
  6. Step 6: Final answer
    x = 20,856.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.