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Finding the Third Proportional to 3,491.94 and 7,656.64

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Solution

The third proportional to 3,491.94 and 7,656.64 is: 16,788.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.94 : 7,656.64 = 7,656.64 : x
  2. Step 2: Convert to fraction form
    3,491.94/7,656.64 = 7,656.64/x
  3. Step 3: Cross multiply
    3,491.94x = 7,656.64 × 7,656.64
  4. Step 4: Simplify right side
    3,491.94x = 58,624,070.89
  5. Step 5: Solve for x
    x = 58,624,070.89/3,491.94
  6. Step 6: Final answer
    x = 16,788.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.