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Finding the Third Proportional to 19,448.25 and 40,856.25

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Solution

The third proportional to 19,448.25 and 40,856.25 is: 85,829.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,448.25 : 40,856.25 = 40,856.25 : x
  2. Step 2: Convert to fraction form
    19,448.25/40,856.25 = 40,856.25/x
  3. Step 3: Cross multiply
    19,448.25x = 40,856.25 × 40,856.25
  4. Step 4: Simplify right side
    19,448.25x = 1,669,233,164.06
  5. Step 5: Solve for x
    x = 1,669,233,164.06/19,448.25
  6. Step 6: Final answer
    x = 85,829.48

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.