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Finding the Third Proportional to 11,708.61 and 17,252.84

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Solution

The third proportional to 11,708.61 and 17,252.84 is: 25,422.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.61 : 17,252.84 = 17,252.84 : x
  2. Step 2: Convert to fraction form
    11,708.61/17,252.84 = 17,252.84/x
  3. Step 3: Cross multiply
    11,708.61x = 17,252.84 × 17,252.84
  4. Step 4: Simplify right side
    11,708.61x = 297,660,550.07
  5. Step 5: Solve for x
    x = 297,660,550.07/11,708.61
  6. Step 6: Final answer
    x = 25,422.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.