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Finding the Third Proportional to 17,296.88 and 27,158.63

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Solution

The third proportional to 17,296.88 and 27,158.63 is: 42,643.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,296.88 : 27,158.63 = 27,158.63 : x
  2. Step 2: Convert to fraction form
    17,296.88/27,158.63 = 27,158.63/x
  3. Step 3: Cross multiply
    17,296.88x = 27,158.63 × 27,158.63
  4. Step 4: Simplify right side
    17,296.88x = 737,590,911.89
  5. Step 5: Solve for x
    x = 737,590,911.89/17,296.88
  6. Step 6: Final answer
    x = 42,643.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.