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Finding the Third Proportional to 11,952 and 17,907.75

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Solution

The third proportional to 11,952 and 17,907.75 is: 26,831.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952 : 17,907.75 = 17,907.75 : x
  2. Step 2: Convert to fraction form
    11,952/17,907.75 = 17,907.75/x
  3. Step 3: Cross multiply
    11,952x = 17,907.75 × 17,907.75
  4. Step 4: Simplify right side
    11,952x = 320,687,510.06
  5. Step 5: Solve for x
    x = 320,687,510.06/11,952
  6. Step 6: Final answer
    x = 26,831.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.