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Finding the Third Proportional to 6,337 and 9,543.50

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Solution

The third proportional to 6,337 and 9,543.50 is: 14,372.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337 : 9,543.50 = 9,543.50 : x
  2. Step 2: Convert to fraction form
    6,337/9,543.50 = 9,543.50/x
  3. Step 3: Cross multiply
    6,337x = 9,543.50 × 9,543.50
  4. Step 4: Simplify right side
    6,337x = 91,078,392.25
  5. Step 5: Solve for x
    x = 91,078,392.25/6,337
  6. Step 6: Final answer
    x = 14,372.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.