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Finding the Third Proportional to 30,434 and 45,723

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Solution

The third proportional to 30,434 and 45,723 is: 68,692.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,434 : 45,723 = 45,723 : x
  2. Step 2: Convert to fraction form
    30,434/45,723 = 45,723/x
  3. Step 3: Cross multiply
    30,434x = 45,723 × 45,723
  4. Step 4: Simplify right side
    30,434x = 2,090,592,729
  5. Step 5: Solve for x
    x = 2,090,592,729/30,434
  6. Step 6: Final answer
    x = 68,692.67

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Why These Related Problems?

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