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Finding the Third Proportional to 1,453.36 and 3,177.14

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Solution

The third proportional to 1,453.36 and 3,177.14 is: 6,945.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.36 : 3,177.14 = 3,177.14 : x
  2. Step 2: Convert to fraction form
    1,453.36/3,177.14 = 3,177.14/x
  3. Step 3: Cross multiply
    1,453.36x = 3,177.14 × 3,177.14
  4. Step 4: Simplify right side
    1,453.36x = 10,094,222.55
  5. Step 5: Solve for x
    x = 10,094,222.55/1,453.36
  6. Step 6: Final answer
    x = 6,945.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.