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Finding the Third Proportional to 7,533 and 12,642.75

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Solution

The third proportional to 7,533 and 12,642.75 is: 21,218.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533 : 12,642.75 = 12,642.75 : x
  2. Step 2: Convert to fraction form
    7,533/12,642.75 = 12,642.75/x
  3. Step 3: Cross multiply
    7,533x = 12,642.75 × 12,642.75
  4. Step 4: Simplify right side
    7,533x = 159,839,127.56
  5. Step 5: Solve for x
    x = 159,839,127.56/7,533
  6. Step 6: Final answer
    x = 21,218.52

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.