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Finding the Third Proportional to 5,723 and 9,138.50

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Solution

The third proportional to 5,723 and 9,138.50 is: 14,592.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723 : 9,138.50 = 9,138.50 : x
  2. Step 2: Convert to fraction form
    5,723/9,138.50 = 9,138.50/x
  3. Step 3: Cross multiply
    5,723x = 9,138.50 × 9,138.50
  4. Step 4: Simplify right side
    5,723x = 83,512,182.25
  5. Step 5: Solve for x
    x = 83,512,182.25/5,723
  6. Step 6: Final answer
    x = 14,592.38

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.