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Finding the Third Proportional to 23,679 and 34,209

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Solution

The third proportional to 23,679 and 34,209 is: 49,421.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,679 : 34,209 = 34,209 : x
  2. Step 2: Convert to fraction form
    23,679/34,209 = 34,209/x
  3. Step 3: Cross multiply
    23,679x = 34,209 × 34,209
  4. Step 4: Simplify right side
    23,679x = 1,170,255,681
  5. Step 5: Solve for x
    x = 1,170,255,681/23,679
  6. Step 6: Final answer
    x = 49,421.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.