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Finding the Third Proportional to 8,069.63 and 11,783.44

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Solution

The third proportional to 8,069.63 and 11,783.44 is: 17,206.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,069.63 : 11,783.44 = 11,783.44 : x
  2. Step 2: Convert to fraction form
    8,069.63/11,783.44 = 11,783.44/x
  3. Step 3: Cross multiply
    8,069.63x = 11,783.44 × 11,783.44
  4. Step 4: Simplify right side
    8,069.63x = 138,849,399.32
  5. Step 5: Solve for x
    x = 138,849,399.32/8,069.63
  6. Step 6: Final answer
    x = 17,206.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.