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Finding the Third Proportional to 34,510.50 and 75,483

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Solution

The third proportional to 34,510.50 and 75,483 is: 165,099.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,510.50 : 75,483 = 75,483 : x
  2. Step 2: Convert to fraction form
    34,510.50/75,483 = 75,483/x
  3. Step 3: Cross multiply
    34,510.50x = 75,483 × 75,483
  4. Step 4: Simplify right side
    34,510.50x = 5,697,683,289
  5. Step 5: Solve for x
    x = 5,697,683,289/34,510.50
  6. Step 6: Final answer
    x = 165,099.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.