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Finding the Third Proportional to 19,700.09 and 25,859.57

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Solution

The third proportional to 19,700.09 and 25,859.57 is: 33,944.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,700.09 : 25,859.57 = 25,859.57 : x
  2. Step 2: Convert to fraction form
    19,700.09/25,859.57 = 25,859.57/x
  3. Step 3: Cross multiply
    19,700.09x = 25,859.57 × 25,859.57
  4. Step 4: Simplify right side
    19,700.09x = 668,717,174.72
  5. Step 5: Solve for x
    x = 668,717,174.72/19,700.09
  6. Step 6: Final answer
    x = 33,944.89

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.