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Finding the Third Proportional to 34,444 and 72,956

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Solution

The third proportional to 34,444 and 72,956 is: 154,528.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,444 : 72,956 = 72,956 : x
  2. Step 2: Convert to fraction form
    34,444/72,956 = 72,956/x
  3. Step 3: Cross multiply
    34,444x = 72,956 × 72,956
  4. Step 4: Simplify right side
    34,444x = 5,322,577,936
  5. Step 5: Solve for x
    x = 5,322,577,936/34,444
  6. Step 6: Final answer
    x = 154,528.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.