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Finding the Third Proportional to 19,593 and 29,566.50

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Solution

The third proportional to 19,593 and 29,566.50 is: 44,616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,593 : 29,566.50 = 29,566.50 : x
  2. Step 2: Convert to fraction form
    19,593/29,566.50 = 29,566.50/x
  3. Step 3: Cross multiply
    19,593x = 29,566.50 × 29,566.50
  4. Step 4: Simplify right side
    19,593x = 874,177,922.25
  5. Step 5: Solve for x
    x = 874,177,922.25/19,593
  6. Step 6: Final answer
    x = 44,616.85

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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.