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Finding the Third Proportional to 19,736.25 and 42,632.25

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Solution

The third proportional to 19,736.25 and 42,632.25 is: 92,089.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,736.25 : 42,632.25 = 42,632.25 : x
  2. Step 2: Convert to fraction form
    19,736.25/42,632.25 = 42,632.25/x
  3. Step 3: Cross multiply
    19,736.25x = 42,632.25 × 42,632.25
  4. Step 4: Simplify right side
    19,736.25x = 1,817,508,740.06
  5. Step 5: Solve for x
    x = 1,817,508,740.06/19,736.25
  6. Step 6: Final answer
    x = 92,089.87

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.