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Finding the Third Proportional to 1,039.08 and 2,243.00

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Solution

The third proportional to 1,039.08 and 2,243.00 is: 4,841.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.08 : 2,243.00 = 2,243.00 : x
  2. Step 2: Convert to fraction form
    1,039.08/2,243.00 = 2,243.00/x
  3. Step 3: Cross multiply
    1,039.08x = 2,243.00 × 2,243.00
  4. Step 4: Simplify right side
    1,039.08x = 5,031,066.52
  5. Step 5: Solve for x
    x = 5,031,066.52/1,039.08
  6. Step 6: Final answer
    x = 4,841.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.