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Finding the Third Proportional to 34,329 and 70,861.50

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Solution

The third proportional to 34,329 and 70,861.50 is: 146,271.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,329 : 70,861.50 = 70,861.50 : x
  2. Step 2: Convert to fraction form
    34,329/70,861.50 = 70,861.50/x
  3. Step 3: Cross multiply
    34,329x = 70,861.50 × 70,861.50
  4. Step 4: Simplify right side
    34,329x = 5,021,352,182.25
  5. Step 5: Solve for x
    x = 5,021,352,182.25/34,329
  6. Step 6: Final answer
    x = 146,271.44

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.