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Finding the Third Proportional to 11,218.88 and 17,420.63

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Solution

The third proportional to 11,218.88 and 17,420.63 is: 27,050.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,218.88 : 17,420.63 = 17,420.63 : x
  2. Step 2: Convert to fraction form
    11,218.88/17,420.63 = 17,420.63/x
  3. Step 3: Cross multiply
    11,218.88x = 17,420.63 × 17,420.63
  4. Step 4: Simplify right side
    11,218.88x = 303,478,175.39
  5. Step 5: Solve for x
    x = 303,478,175.39/11,218.88
  6. Step 6: Final answer
    x = 27,050.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.