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Finding the Third Proportional to 16,428.75 and 25,485.75

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Solution

The third proportional to 16,428.75 and 25,485.75 is: 39,535.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,428.75 : 25,485.75 = 25,485.75 : x
  2. Step 2: Convert to fraction form
    16,428.75/25,485.75 = 25,485.75/x
  3. Step 3: Cross multiply
    16,428.75x = 25,485.75 × 25,485.75
  4. Step 4: Simplify right side
    16,428.75x = 649,523,453.06
  5. Step 5: Solve for x
    x = 649,523,453.06/16,428.75
  6. Step 6: Final answer
    x = 39,535.78

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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.