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Finding the Third Proportional to 5,159 and 7,763

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Solution

The third proportional to 5,159 and 7,763 is: 11,681.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159 : 7,763 = 7,763 : x
  2. Step 2: Convert to fraction form
    5,159/7,763 = 7,763/x
  3. Step 3: Cross multiply
    5,159x = 7,763 × 7,763
  4. Step 4: Simplify right side
    5,159x = 60,264,169
  5. Step 5: Solve for x
    x = 60,264,169/5,159
  6. Step 6: Final answer
    x = 11,681.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.