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Finding the Third Proportional to 13,011 and 17,296.88

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Solution

The third proportional to 13,011 and 17,296.88 is: 22,994.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011 : 17,296.88 = 17,296.88 : x
  2. Step 2: Convert to fraction form
    13,011/17,296.88 = 17,296.88/x
  3. Step 3: Cross multiply
    13,011x = 17,296.88 × 17,296.88
  4. Step 4: Simplify right side
    13,011x = 299,181,884.77
  5. Step 5: Solve for x
    x = 299,181,884.77/13,011
  6. Step 6: Final answer
    x = 22,994.53

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.