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Finding the Third Proportional to 1,339.69 and 3,130.69

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Solution

The third proportional to 1,339.69 and 3,130.69 is: 7,316.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.69 : 3,130.69 = 3,130.69 : x
  2. Step 2: Convert to fraction form
    1,339.69/3,130.69 = 3,130.69/x
  3. Step 3: Cross multiply
    1,339.69x = 3,130.69 × 3,130.69
  4. Step 4: Simplify right side
    1,339.69x = 9,801,204.22
  5. Step 5: Solve for x
    x = 9,801,204.22/1,339.69
  6. Step 6: Final answer
    x = 7,316.04

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.