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Finding the Third Proportional to 21,604 and 30,918

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Solution

The third proportional to 21,604 and 30,918 is: 44,247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,604 : 30,918 = 30,918 : x
  2. Step 2: Convert to fraction form
    21,604/30,918 = 30,918/x
  3. Step 3: Cross multiply
    21,604x = 30,918 × 30,918
  4. Step 4: Simplify right side
    21,604x = 955,922,724
  5. Step 5: Solve for x
    x = 955,922,724/21,604
  6. Step 6: Final answer
    x = 44,247.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.