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Finding the Third Proportional to 34,668 and 63,828

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Solution

The third proportional to 34,668 and 63,828 is: 117,515.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,668 : 63,828 = 63,828 : x
  2. Step 2: Convert to fraction form
    34,668/63,828 = 63,828/x
  3. Step 3: Cross multiply
    34,668x = 63,828 × 63,828
  4. Step 4: Simplify right side
    34,668x = 4,074,013,584
  5. Step 5: Solve for x
    x = 4,074,013,584/34,668
  6. Step 6: Final answer
    x = 117,515.10

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.