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Finding the Third Proportional to 5,773 and 9,296

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Solution

The third proportional to 5,773 and 9,296 is: 14,968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773 : 9,296 = 9,296 : x
  2. Step 2: Convert to fraction form
    5,773/9,296 = 9,296/x
  3. Step 3: Cross multiply
    5,773x = 9,296 × 9,296
  4. Step 4: Simplify right side
    5,773x = 86,415,616
  5. Step 5: Solve for x
    x = 86,415,616/5,773
  6. Step 6: Final answer
    x = 14,968.93

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.