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Finding the Third Proportional to 19,338.75 and 46,569.94

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Solution

The third proportional to 19,338.75 and 46,569.94 is: 112,145.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,338.75 : 46,569.94 = 46,569.94 : x
  2. Step 2: Convert to fraction form
    19,338.75/46,569.94 = 46,569.94/x
  3. Step 3: Cross multiply
    19,338.75x = 46,569.94 × 46,569.94
  4. Step 4: Simplify right side
    19,338.75x = 2,168,759,078.75
  5. Step 5: Solve for x
    x = 2,168,759,078.75/19,338.75
  6. Step 6: Final answer
    x = 112,145.77

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.