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Finding the Third Proportional to 1,339.66 and 2,048.10

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Solution

The third proportional to 1,339.66 and 2,048.10 is: 3,131.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.66 : 2,048.10 = 2,048.10 : x
  2. Step 2: Convert to fraction form
    1,339.66/2,048.10 = 2,048.10/x
  3. Step 3: Cross multiply
    1,339.66x = 2,048.10 × 2,048.10
  4. Step 4: Simplify right side
    1,339.66x = 4,194,704.01
  5. Step 5: Solve for x
    x = 4,194,704.01/1,339.66
  6. Step 6: Final answer
    x = 3,131.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.