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Finding the Third Proportional to 10,573.50 and 11,505

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Solution

The third proportional to 10,573.50 and 11,505 is: 12,518.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.50 : 11,505 = 11,505 : x
  2. Step 2: Convert to fraction form
    10,573.50/11,505 = 11,505/x
  3. Step 3: Cross multiply
    10,573.50x = 11,505 × 11,505
  4. Step 4: Simplify right side
    10,573.50x = 132,365,025
  5. Step 5: Solve for x
    x = 132,365,025/10,573.50
  6. Step 6: Final answer
    x = 12,518.56

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.