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Finding the Third Proportional to 25,200 and 39,444

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Solution

The third proportional to 25,200 and 39,444 is: 61,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,200 : 39,444 = 39,444 : x
  2. Step 2: Convert to fraction form
    25,200/39,444 = 39,444/x
  3. Step 3: Cross multiply
    25,200x = 39,444 × 39,444
  4. Step 4: Simplify right side
    25,200x = 1,555,829,136
  5. Step 5: Solve for x
    x = 1,555,829,136/25,200
  6. Step 6: Final answer
    x = 61,739.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.