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Finding the Third Proportional to 2,256.19 and 3,360.38

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Solution

The third proportional to 2,256.19 and 3,360.38 is: 5,004.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.19 : 3,360.38 = 3,360.38 : x
  2. Step 2: Convert to fraction form
    2,256.19/3,360.38 = 3,360.38/x
  3. Step 3: Cross multiply
    2,256.19x = 3,360.38 × 3,360.38
  4. Step 4: Simplify right side
    2,256.19x = 11,292,120.14
  5. Step 5: Solve for x
    x = 11,292,120.14/2,256.19
  6. Step 6: Final answer
    x = 5,004.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.