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Finding the Third Proportional to 17,668 and 25,547

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Solution

The third proportional to 17,668 and 25,547 is: 36,939.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,668 : 25,547 = 25,547 : x
  2. Step 2: Convert to fraction form
    17,668/25,547 = 25,547/x
  3. Step 3: Cross multiply
    17,668x = 25,547 × 25,547
  4. Step 4: Simplify right side
    17,668x = 652,649,209
  5. Step 5: Solve for x
    x = 652,649,209/17,668
  6. Step 6: Final answer
    x = 36,939.62

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.