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Finding the Third Proportional to 7,836.75 and 16,038

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Solution

The third proportional to 7,836.75 and 16,038 is: 32,821.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.75 : 16,038 = 16,038 : x
  2. Step 2: Convert to fraction form
    7,836.75/16,038 = 16,038/x
  3. Step 3: Cross multiply
    7,836.75x = 16,038 × 16,038
  4. Step 4: Simplify right side
    7,836.75x = 257,217,444
  5. Step 5: Solve for x
    x = 257,217,444/7,836.75
  6. Step 6: Final answer
    x = 32,821.95

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.