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Finding the Third Proportional to 21,852.75 and 46,821.38

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Solution

The third proportional to 21,852.75 and 46,821.38 is: 100,318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,852.75 : 46,821.38 = 46,821.38 : x
  2. Step 2: Convert to fraction form
    21,852.75/46,821.38 = 46,821.38/x
  3. Step 3: Cross multiply
    21,852.75x = 46,821.38 × 46,821.38
  4. Step 4: Simplify right side
    21,852.75x = 2,192,241,156.89
  5. Step 5: Solve for x
    x = 2,192,241,156.89/21,852.75
  6. Step 6: Final answer
    x = 100,318.78

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.