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Finding the Third Proportional to 19,857.75 and 42,594.75

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Solution

The third proportional to 19,857.75 and 42,594.75 is: 91,365.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,857.75 : 42,594.75 = 42,594.75 : x
  2. Step 2: Convert to fraction form
    19,857.75/42,594.75 = 42,594.75/x
  3. Step 3: Cross multiply
    19,857.75x = 42,594.75 × 42,594.75
  4. Step 4: Simplify right side
    19,857.75x = 1,814,312,727.56
  5. Step 5: Solve for x
    x = 1,814,312,727.56/19,857.75
  6. Step 6: Final answer
    x = 91,365.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.