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Finding the Third Proportional to 8,178 and 8,916

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Solution

The third proportional to 8,178 and 8,916 is: 9,720.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178 : 8,916 = 8,916 : x
  2. Step 2: Convert to fraction form
    8,178/8,916 = 8,916/x
  3. Step 3: Cross multiply
    8,178x = 8,916 × 8,916
  4. Step 4: Simplify right side
    8,178x = 79,495,056
  5. Step 5: Solve for x
    x = 79,495,056/8,178
  6. Step 6: Final answer
    x = 9,720.60

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.