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Finding the Third Proportional to 5,052.50 and 7,723

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Solution

The third proportional to 5,052.50 and 7,723 is: 11,804.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.50 : 7,723 = 7,723 : x
  2. Step 2: Convert to fraction form
    5,052.50/7,723 = 7,723/x
  3. Step 3: Cross multiply
    5,052.50x = 7,723 × 7,723
  4. Step 4: Simplify right side
    5,052.50x = 59,644,729
  5. Step 5: Solve for x
    x = 59,644,729/5,052.50
  6. Step 6: Final answer
    x = 11,804.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.