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Finding the Third Proportional to 6,064 and 12,736

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Solution

The third proportional to 6,064 and 12,736 is: 26,748.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,064 : 12,736 = 12,736 : x
  2. Step 2: Convert to fraction form
    6,064/12,736 = 12,736/x
  3. Step 3: Cross multiply
    6,064x = 12,736 × 12,736
  4. Step 4: Simplify right side
    6,064x = 162,205,696
  5. Step 5: Solve for x
    x = 162,205,696/6,064
  6. Step 6: Final answer
    x = 26,748.96

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.