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Finding the Third Proportional to 7,533 and 8,383.50

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Solution

The third proportional to 7,533 and 8,383.50 is: 9,330.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,533 : 8,383.50 = 8,383.50 : x
  2. Step 2: Convert to fraction form
    7,533/8,383.50 = 8,383.50/x
  3. Step 3: Cross multiply
    7,533x = 8,383.50 × 8,383.50
  4. Step 4: Simplify right side
    7,533x = 70,283,072.25
  5. Step 5: Solve for x
    x = 70,283,072.25/7,533
  6. Step 6: Final answer
    x = 9,330.02

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.