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Finding the Third Proportional to 5,223 and 7,162.50

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Solution

The third proportional to 5,223 and 7,162.50 is: 9,822.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223 : 7,162.50 = 7,162.50 : x
  2. Step 2: Convert to fraction form
    5,223/7,162.50 = 7,162.50/x
  3. Step 3: Cross multiply
    5,223x = 7,162.50 × 7,162.50
  4. Step 4: Simplify right side
    5,223x = 51,301,406.25
  5. Step 5: Solve for x
    x = 51,301,406.25/5,223
  6. Step 6: Final answer
    x = 9,822.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.