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Finding the Third Proportional to 4,323 and 4,995

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Solution

The third proportional to 4,323 and 4,995 is: 5,771.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,323 : 4,995 = 4,995 : x
  2. Step 2: Convert to fraction form
    4,323/4,995 = 4,995/x
  3. Step 3: Cross multiply
    4,323x = 4,995 × 4,995
  4. Step 4: Simplify right side
    4,323x = 24,950,025
  5. Step 5: Solve for x
    x = 24,950,025/4,323
  6. Step 6: Final answer
    x = 5,771.46

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.