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Finding the Third Proportional to 17,265.66 and 24,679.69

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Solution

The third proportional to 17,265.66 and 24,679.69 is: 35,277.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,265.66 : 24,679.69 = 24,679.69 : x
  2. Step 2: Convert to fraction form
    17,265.66/24,679.69 = 24,679.69/x
  3. Step 3: Cross multiply
    17,265.66x = 24,679.69 × 24,679.69
  4. Step 4: Simplify right side
    17,265.66x = 609,086,975.10
  5. Step 5: Solve for x
    x = 609,086,975.10/17,265.66
  6. Step 6: Final answer
    x = 35,277.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.