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Finding the Third Proportional to 16,314.75 and 25,121.25

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Solution

The third proportional to 16,314.75 and 25,121.25 is: 38,681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.75 : 25,121.25 = 25,121.25 : x
  2. Step 2: Convert to fraction form
    16,314.75/25,121.25 = 25,121.25/x
  3. Step 3: Cross multiply
    16,314.75x = 25,121.25 × 25,121.25
  4. Step 4: Simplify right side
    16,314.75x = 631,077,201.56
  5. Step 5: Solve for x
    x = 631,077,201.56/16,314.75
  6. Step 6: Final answer
    x = 38,681.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.