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Finding the Third Proportional to 5,835 and 8,969

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Solution

The third proportional to 5,835 and 8,969 is: 13,786.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835 : 8,969 = 8,969 : x
  2. Step 2: Convert to fraction form
    5,835/8,969 = 8,969/x
  3. Step 3: Cross multiply
    5,835x = 8,969 × 8,969
  4. Step 4: Simplify right side
    5,835x = 80,442,961
  5. Step 5: Solve for x
    x = 80,442,961/5,835
  6. Step 6: Final answer
    x = 13,786.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.