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Finding the Third Proportional to 15,668 and 22,914

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Solution

The third proportional to 15,668 and 22,914 is: 33,511.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,668 : 22,914 = 22,914 : x
  2. Step 2: Convert to fraction form
    15,668/22,914 = 22,914/x
  3. Step 3: Cross multiply
    15,668x = 22,914 × 22,914
  4. Step 4: Simplify right side
    15,668x = 525,051,396
  5. Step 5: Solve for x
    x = 525,051,396/15,668
  6. Step 6: Final answer
    x = 33,511.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.