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Finding the Third Proportional to 6,023 and 7,896

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Solution

The third proportional to 6,023 and 7,896 is: 10,351.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,023 : 7,896 = 7,896 : x
  2. Step 2: Convert to fraction form
    6,023/7,896 = 7,896/x
  3. Step 3: Cross multiply
    6,023x = 7,896 × 7,896
  4. Step 4: Simplify right side
    6,023x = 62,346,816
  5. Step 5: Solve for x
    x = 62,346,816/6,023
  6. Step 6: Final answer
    x = 10,351.46

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.