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Finding the Third Proportional to 19,855.13 and 29,826.56

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Solution

The third proportional to 19,855.13 and 29,826.56 is: 44,805.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,855.13 : 29,826.56 = 29,826.56 : x
  2. Step 2: Convert to fraction form
    19,855.13/29,826.56 = 29,826.56/x
  3. Step 3: Cross multiply
    19,855.13x = 29,826.56 × 29,826.56
  4. Step 4: Simplify right side
    19,855.13x = 889,623,830.57
  5. Step 5: Solve for x
    x = 889,623,830.57/19,855.13
  6. Step 6: Final answer
    x = 44,805.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.