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Finding the Third Proportional to 20,097.56 and 29,565.56

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Solution

The third proportional to 20,097.56 and 29,565.56 is: 43,493.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.56 : 29,565.56 = 29,565.56 : x
  2. Step 2: Convert to fraction form
    20,097.56/29,565.56 = 29,565.56/x
  3. Step 3: Cross multiply
    20,097.56x = 29,565.56 × 29,565.56
  4. Step 4: Simplify right side
    20,097.56x = 874,122,485.94
  5. Step 5: Solve for x
    x = 874,122,485.94/20,097.56
  6. Step 6: Final answer
    x = 43,493.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.