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Finding the Third Proportional to 16,977 and 25,497.50

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Solution

The third proportional to 16,977 and 25,497.50 is: 38,294.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,977 : 25,497.50 = 25,497.50 : x
  2. Step 2: Convert to fraction form
    16,977/25,497.50 = 25,497.50/x
  3. Step 3: Cross multiply
    16,977x = 25,497.50 × 25,497.50
  4. Step 4: Simplify right side
    16,977x = 650,122,506.25
  5. Step 5: Solve for x
    x = 650,122,506.25/16,977
  6. Step 6: Final answer
    x = 38,294.31

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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.