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Finding the Third Proportional to 1,184.63 and 1,776.94

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Solution

The third proportional to 1,184.63 and 1,776.94 is: 2,665.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.63 : 1,776.94 = 1,776.94 : x
  2. Step 2: Convert to fraction form
    1,184.63/1,776.94 = 1,776.94/x
  3. Step 3: Cross multiply
    1,184.63x = 1,776.94 × 1,776.94
  4. Step 4: Simplify right side
    1,184.63x = 3,157,506.88
  5. Step 5: Solve for x
    x = 3,157,506.88/1,184.63
  6. Step 6: Final answer
    x = 2,665.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.