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Finding the Third Proportional to 25,905 and 55,896

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Solution

The third proportional to 25,905 and 55,896 is: 120,608.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,905 : 55,896 = 55,896 : x
  2. Step 2: Convert to fraction form
    25,905/55,896 = 55,896/x
  3. Step 3: Cross multiply
    25,905x = 55,896 × 55,896
  4. Step 4: Simplify right side
    25,905x = 3,124,362,816
  5. Step 5: Solve for x
    x = 3,124,362,816/25,905
  6. Step 6: Final answer
    x = 120,608.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.