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Finding the Third Proportional to 45,905 and 64,647

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Solution

The third proportional to 45,905 and 64,647 is: 91,040.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,905 : 64,647 = 64,647 : x
  2. Step 2: Convert to fraction form
    45,905/64,647 = 64,647/x
  3. Step 3: Cross multiply
    45,905x = 64,647 × 64,647
  4. Step 4: Simplify right side
    45,905x = 4,179,234,609
  5. Step 5: Solve for x
    x = 4,179,234,609/45,905
  6. Step 6: Final answer
    x = 91,040.95

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.