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Finding the Third Proportional to 7,793.75 and 16,681.75

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Solution

The third proportional to 7,793.75 and 16,681.75 is: 35,705.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.75 : 16,681.75 = 16,681.75 : x
  2. Step 2: Convert to fraction form
    7,793.75/16,681.75 = 16,681.75/x
  3. Step 3: Cross multiply
    7,793.75x = 16,681.75 × 16,681.75
  4. Step 4: Simplify right side
    7,793.75x = 278,280,783.06
  5. Step 5: Solve for x
    x = 278,280,783.06/7,793.75
  6. Step 6: Final answer
    x = 35,705.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.