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Finding the Third Proportional to 19,865.25 and 46,902.38

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Solution

The third proportional to 19,865.25 and 46,902.38 is: 110,737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,865.25 : 46,902.38 = 46,902.38 : x
  2. Step 2: Convert to fraction form
    19,865.25/46,902.38 = 46,902.38/x
  3. Step 3: Cross multiply
    19,865.25x = 46,902.38 × 46,902.38
  4. Step 4: Simplify right side
    19,865.25x = 2,199,832,780.64
  5. Step 5: Solve for x
    x = 2,199,832,780.64/19,865.25
  6. Step 6: Final answer
    x = 110,737.73

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.