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Finding the Third Proportional to 9,216 and 21,642.75

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Solution

The third proportional to 9,216 and 21,642.75 is: 50,825.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216 : 21,642.75 = 21,642.75 : x
  2. Step 2: Convert to fraction form
    9,216/21,642.75 = 21,642.75/x
  3. Step 3: Cross multiply
    9,216x = 21,642.75 × 21,642.75
  4. Step 4: Simplify right side
    9,216x = 468,408,627.56
  5. Step 5: Solve for x
    x = 468,408,627.56/9,216
  6. Step 6: Final answer
    x = 50,825.59

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.