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Finding the Third Proportional to 45,825.75 and 68,647.50

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Solution

The third proportional to 45,825.75 and 68,647.50 is: 102,834.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,825.75 : 68,647.50 = 68,647.50 : x
  2. Step 2: Convert to fraction form
    45,825.75/68,647.50 = 68,647.50/x
  3. Step 3: Cross multiply
    45,825.75x = 68,647.50 × 68,647.50
  4. Step 4: Simplify right side
    45,825.75x = 4,712,479,256.25
  5. Step 5: Solve for x
    x = 4,712,479,256.25/45,825.75
  6. Step 6: Final answer
    x = 102,834.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.