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Finding the Third Proportional to 29,604 and 43,954

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Solution

The third proportional to 29,604 and 43,954 is: 65,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,604 : 43,954 = 43,954 : x
  2. Step 2: Convert to fraction form
    29,604/43,954 = 43,954/x
  3. Step 3: Cross multiply
    29,604x = 43,954 × 43,954
  4. Step 4: Simplify right side
    29,604x = 1,931,954,116
  5. Step 5: Solve for x
    x = 1,931,954,116/29,604
  6. Step 6: Final answer
    x = 65,259.90

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.