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Finding the Third Proportional to 10,372.50 and 13,911.75

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Solution

The third proportional to 10,372.50 and 13,911.75 is: 18,658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372.50 : 13,911.75 = 13,911.75 : x
  2. Step 2: Convert to fraction form
    10,372.50/13,911.75 = 13,911.75/x
  3. Step 3: Cross multiply
    10,372.50x = 13,911.75 × 13,911.75
  4. Step 4: Simplify right side
    10,372.50x = 193,536,788.06
  5. Step 5: Solve for x
    x = 193,536,788.06/10,372.50
  6. Step 6: Final answer
    x = 18,658.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.