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Finding the Third Proportional to 6,696.84 and 7,911.84

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Solution

The third proportional to 6,696.84 and 7,911.84 is: 9,347.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.84 : 7,911.84 = 7,911.84 : x
  2. Step 2: Convert to fraction form
    6,696.84/7,911.84 = 7,911.84/x
  3. Step 3: Cross multiply
    6,696.84x = 7,911.84 × 7,911.84
  4. Step 4: Simplify right side
    6,696.84x = 62,597,271.52
  5. Step 5: Solve for x
    x = 62,597,271.52/6,696.84
  6. Step 6: Final answer
    x = 9,347.28

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.