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Finding the Third Proportional to 4,533 and 8,089.50

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Solution

The third proportional to 4,533 and 8,089.50 is: 14,436.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533 : 8,089.50 = 8,089.50 : x
  2. Step 2: Convert to fraction form
    4,533/8,089.50 = 8,089.50/x
  3. Step 3: Cross multiply
    4,533x = 8,089.50 × 8,089.50
  4. Step 4: Simplify right side
    4,533x = 65,440,010.25
  5. Step 5: Solve for x
    x = 65,440,010.25/4,533
  6. Step 6: Final answer
    x = 14,436.36

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.