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Finding the Third Proportional to 14,050 and 32,444

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Solution

The third proportional to 14,050 and 32,444 is: 74,919.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,050 : 32,444 = 32,444 : x
  2. Step 2: Convert to fraction form
    14,050/32,444 = 32,444/x
  3. Step 3: Cross multiply
    14,050x = 32,444 × 32,444
  4. Step 4: Simplify right side
    14,050x = 1,052,613,136
  5. Step 5: Solve for x
    x = 1,052,613,136/14,050
  6. Step 6: Final answer
    x = 74,919.08

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.