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Finding the Third Proportional to 21,678.75 and 34,350.75

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Solution

The third proportional to 21,678.75 and 34,350.75 is: 54,429.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,678.75 : 34,350.75 = 34,350.75 : x
  2. Step 2: Convert to fraction form
    21,678.75/34,350.75 = 34,350.75/x
  3. Step 3: Cross multiply
    21,678.75x = 34,350.75 × 34,350.75
  4. Step 4: Simplify right side
    21,678.75x = 1,179,974,025.56
  5. Step 5: Solve for x
    x = 1,179,974,025.56/21,678.75
  6. Step 6: Final answer
    x = 54,429.98

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.