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Finding the Third Proportional to 675.19 and 1,475.63

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Solution

The third proportional to 675.19 and 1,475.63 is: 3,224.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.19 : 1,475.63 = 1,475.63 : x
  2. Step 2: Convert to fraction form
    675.19/1,475.63 = 1,475.63/x
  3. Step 3: Cross multiply
    675.19x = 1,475.63 × 1,475.63
  4. Step 4: Simplify right side
    675.19x = 2,177,469.14
  5. Step 5: Solve for x
    x = 2,177,469.14/675.19
  6. Step 6: Final answer
    x = 3,224.98

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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.