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Finding the Third Proportional to 6,847.66 and 10,698.64

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Solution

The third proportional to 6,847.66 and 10,698.64 is: 16,715.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.66 : 10,698.64 = 10,698.64 : x
  2. Step 2: Convert to fraction form
    6,847.66/10,698.64 = 10,698.64/x
  3. Step 3: Cross multiply
    6,847.66x = 10,698.64 × 10,698.64
  4. Step 4: Simplify right side
    6,847.66x = 114,460,994.81
  5. Step 5: Solve for x
    x = 114,460,994.81/6,847.66
  6. Step 6: Final answer
    x = 16,715.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.