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Finding the Third Proportional to 1,491.19 and 3,448.69

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Solution

The third proportional to 1,491.19 and 3,448.69 is: 7,975.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,491.19 : 3,448.69 = 3,448.69 : x
  2. Step 2: Convert to fraction form
    1,491.19/3,448.69 = 3,448.69/x
  3. Step 3: Cross multiply
    1,491.19x = 3,448.69 × 3,448.69
  4. Step 4: Simplify right side
    1,491.19x = 11,893,445.47
  5. Step 5: Solve for x
    x = 11,893,445.47/1,491.19
  6. Step 6: Final answer
    x = 7,975.82

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.