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Finding the Third Proportional to 10,967.48 and 17,662.43

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Solution

The third proportional to 10,967.48 and 17,662.43 is: 28,444.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.48 : 17,662.43 = 17,662.43 : x
  2. Step 2: Convert to fraction form
    10,967.48/17,662.43 = 17,662.43/x
  3. Step 3: Cross multiply
    10,967.48x = 17,662.43 × 17,662.43
  4. Step 4: Simplify right side
    10,967.48x = 311,961,422.47
  5. Step 5: Solve for x
    x = 311,961,422.47/10,967.48
  6. Step 6: Final answer
    x = 28,444.21

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.