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Finding the Third Proportional to 34,324 and 48,078

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Solution

The third proportional to 34,324 and 48,078 is: 67,343.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,324 : 48,078 = 48,078 : x
  2. Step 2: Convert to fraction form
    34,324/48,078 = 48,078/x
  3. Step 3: Cross multiply
    34,324x = 48,078 × 48,078
  4. Step 4: Simplify right side
    34,324x = 2,311,494,084
  5. Step 5: Solve for x
    x = 2,311,494,084/34,324
  6. Step 6: Final answer
    x = 67,343.38

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.