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Finding the Third Proportional to 43,444 and 64,974

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Solution

The third proportional to 43,444 and 64,974 is: 97,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,444 : 64,974 = 64,974 : x
  2. Step 2: Convert to fraction form
    43,444/64,974 = 64,974/x
  3. Step 3: Cross multiply
    43,444x = 64,974 × 64,974
  4. Step 4: Simplify right side
    43,444x = 4,221,620,676
  5. Step 5: Solve for x
    x = 4,221,620,676/43,444
  6. Step 6: Final answer
    x = 97,173.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.