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Finding the Third Proportional to 19,698 and 43,223.25

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Solution

The third proportional to 19,698 and 43,223.25 is: 94,844.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,698 : 43,223.25 = 43,223.25 : x
  2. Step 2: Convert to fraction form
    19,698/43,223.25 = 43,223.25/x
  3. Step 3: Cross multiply
    19,698x = 43,223.25 × 43,223.25
  4. Step 4: Simplify right side
    19,698x = 1,868,249,340.56
  5. Step 5: Solve for x
    x = 1,868,249,340.56/19,698
  6. Step 6: Final answer
    x = 94,844.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.