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Finding the Third Proportional to 1,133.63 and 1,604.63

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Solution

The third proportional to 1,133.63 and 1,604.63 is: 2,271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.63 : 1,604.63 = 1,604.63 : x
  2. Step 2: Convert to fraction form
    1,133.63/1,604.63 = 1,604.63/x
  3. Step 3: Cross multiply
    1,133.63x = 1,604.63 × 1,604.63
  4. Step 4: Simplify right side
    1,133.63x = 2,574,821.39
  5. Step 5: Solve for x
    x = 2,574,821.39/1,133.63
  6. Step 6: Final answer
    x = 2,271.32

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.