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Finding the Third Proportional to 1,360.69 and 2,085.19

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Solution

The third proportional to 1,360.69 and 2,085.19 is: 3,195.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.69 : 2,085.19 = 2,085.19 : x
  2. Step 2: Convert to fraction form
    1,360.69/2,085.19 = 2,085.19/x
  3. Step 3: Cross multiply
    1,360.69x = 2,085.19 × 2,085.19
  4. Step 4: Simplify right side
    1,360.69x = 4,348,006.91
  5. Step 5: Solve for x
    x = 4,348,006.91/1,360.69
  6. Step 6: Final answer
    x = 3,195.45

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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.