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Finding the Third Proportional to 7,047.75 and 10,797.75

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Solution

The third proportional to 7,047.75 and 10,797.75 is: 16,543.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.75 : 10,797.75 = 10,797.75 : x
  2. Step 2: Convert to fraction form
    7,047.75/10,797.75 = 10,797.75/x
  3. Step 3: Cross multiply
    7,047.75x = 10,797.75 × 10,797.75
  4. Step 4: Simplify right side
    7,047.75x = 116,591,405.06
  5. Step 5: Solve for x
    x = 116,591,405.06/7,047.75
  6. Step 6: Final answer
    x = 16,543.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.