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Finding the Third Proportional to 6,214 and 8,916

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Solution

The third proportional to 6,214 and 8,916 is: 12,792.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214 : 8,916 = 8,916 : x
  2. Step 2: Convert to fraction form
    6,214/8,916 = 8,916/x
  3. Step 3: Cross multiply
    6,214x = 8,916 × 8,916
  4. Step 4: Simplify right side
    6,214x = 79,495,056
  5. Step 5: Solve for x
    x = 79,495,056/6,214
  6. Step 6: Final answer
    x = 12,792.90

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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.