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Finding the Third Proportional to 16,351 and 25,313.50

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Solution

The third proportional to 16,351 and 25,313.50 is: 39,188.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,351 : 25,313.50 = 25,313.50 : x
  2. Step 2: Convert to fraction form
    16,351/25,313.50 = 25,313.50/x
  3. Step 3: Cross multiply
    16,351x = 25,313.50 × 25,313.50
  4. Step 4: Simplify right side
    16,351x = 640,773,282.25
  5. Step 5: Solve for x
    x = 640,773,282.25/16,351
  6. Step 6: Final answer
    x = 39,188.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.