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Finding the Third Proportional to 29,817 and 45,954

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Solution

The third proportional to 29,817 and 45,954 is: 70,824.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,817 : 45,954 = 45,954 : x
  2. Step 2: Convert to fraction form
    29,817/45,954 = 45,954/x
  3. Step 3: Cross multiply
    29,817x = 45,954 × 45,954
  4. Step 4: Simplify right side
    29,817x = 2,111,770,116
  5. Step 5: Solve for x
    x = 2,111,770,116/29,817
  6. Step 6: Final answer
    x = 70,824.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.