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Finding the Third Proportional to 2,604 and 6,144

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Solution

The third proportional to 2,604 and 6,144 is: 14,496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604 : 6,144 = 6,144 : x
  2. Step 2: Convert to fraction form
    2,604/6,144 = 6,144/x
  3. Step 3: Cross multiply
    2,604x = 6,144 × 6,144
  4. Step 4: Simplify right side
    2,604x = 37,748,736
  5. Step 5: Solve for x
    x = 37,748,736/2,604
  6. Step 6: Final answer
    x = 14,496.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.