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Finding the Third Proportional to 45,903 and 64,644

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Solution

The third proportional to 45,903 and 64,644 is: 91,036.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,903 : 64,644 = 64,644 : x
  2. Step 2: Convert to fraction form
    45,903/64,644 = 64,644/x
  3. Step 3: Cross multiply
    45,903x = 64,644 × 64,644
  4. Step 4: Simplify right side
    45,903x = 4,178,846,736
  5. Step 5: Solve for x
    x = 4,178,846,736/45,903
  6. Step 6: Final answer
    x = 91,036.46

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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.