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Finding the Third Proportional to 19,458.56 and 29,745.56

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Solution

The third proportional to 19,458.56 and 29,745.56 is: 45,470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,458.56 : 29,745.56 = 29,745.56 : x
  2. Step 2: Convert to fraction form
    19,458.56/29,745.56 = 29,745.56/x
  3. Step 3: Cross multiply
    19,458.56x = 29,745.56 × 29,745.56
  4. Step 4: Simplify right side
    19,458.56x = 884,798,488.44
  5. Step 5: Solve for x
    x = 884,798,488.44/19,458.56
  6. Step 6: Final answer
    x = 45,470.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.