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Finding the Third Proportional to 14,178.50 and 17,337.50

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Solution

The third proportional to 14,178.50 and 17,337.50 is: 21,200.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,178.50 : 17,337.50 = 17,337.50 : x
  2. Step 2: Convert to fraction form
    14,178.50/17,337.50 = 17,337.50/x
  3. Step 3: Cross multiply
    14,178.50x = 17,337.50 × 17,337.50
  4. Step 4: Simplify right side
    14,178.50x = 300,588,906.25
  5. Step 5: Solve for x
    x = 300,588,906.25/14,178.50
  6. Step 6: Final answer
    x = 21,200.33

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.