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Finding the Third Proportional to 5,835 and 6,969

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Solution

The third proportional to 5,835 and 6,969 is: 8,323.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835 : 6,969 = 6,969 : x
  2. Step 2: Convert to fraction form
    5,835/6,969 = 6,969/x
  3. Step 3: Cross multiply
    5,835x = 6,969 × 6,969
  4. Step 4: Simplify right side
    5,835x = 48,566,961
  5. Step 5: Solve for x
    x = 48,566,961/5,835
  6. Step 6: Final answer
    x = 8,323.39

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.