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Finding the Third Proportional to 34,668 and 73,468

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Solution

The third proportional to 34,668 and 73,468 is: 155,692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,668 : 73,468 = 73,468 : x
  2. Step 2: Convert to fraction form
    34,668/73,468 = 73,468/x
  3. Step 3: Cross multiply
    34,668x = 73,468 × 73,468
  4. Step 4: Simplify right side
    34,668x = 5,397,547,024
  5. Step 5: Solve for x
    x = 5,397,547,024/34,668
  6. Step 6: Final answer
    x = 155,692.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.