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Finding the Third Proportional to 1,167.72 and 2,303.00

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Solution

The third proportional to 1,167.72 and 2,303.00 is: 4,542.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.72 : 2,303.00 = 2,303.00 : x
  2. Step 2: Convert to fraction form
    1,167.72/2,303.00 = 2,303.00/x
  3. Step 3: Cross multiply
    1,167.72x = 2,303.00 × 2,303.00
  4. Step 4: Simplify right side
    1,167.72x = 5,303,797.47
  5. Step 5: Solve for x
    x = 5,303,797.47/1,167.72
  6. Step 6: Final answer
    x = 4,542.02

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.