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Finding the Third Proportional to 34,289 and 51,800

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Solution

The third proportional to 34,289 and 51,800 is: 78,253.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,289 : 51,800 = 51,800 : x
  2. Step 2: Convert to fraction form
    34,289/51,800 = 51,800/x
  3. Step 3: Cross multiply
    34,289x = 51,800 × 51,800
  4. Step 4: Simplify right side
    34,289x = 2,683,240,000
  5. Step 5: Solve for x
    x = 2,683,240,000/34,289
  6. Step 6: Final answer
    x = 78,253.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.