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Finding the Third Proportional to 10,318.50 and 19,563.75

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Solution

The third proportional to 10,318.50 and 19,563.75 is: 37,092.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318.50 : 19,563.75 = 19,563.75 : x
  2. Step 2: Convert to fraction form
    10,318.50/19,563.75 = 19,563.75/x
  3. Step 3: Cross multiply
    10,318.50x = 19,563.75 × 19,563.75
  4. Step 4: Simplify right side
    10,318.50x = 382,740,314.06
  5. Step 5: Solve for x
    x = 382,740,314.06/10,318.50
  6. Step 6: Final answer
    x = 37,092.63

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.