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Finding the Third Proportional to 576.07 and 1,353.02

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Solution

The third proportional to 576.07 and 1,353.02 is: 3,177.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.07 : 1,353.02 = 1,353.02 : x
  2. Step 2: Convert to fraction form
    576.07/1,353.02 = 1,353.02/x
  3. Step 3: Cross multiply
    576.07x = 1,353.02 × 1,353.02
  4. Step 4: Simplify right side
    576.07x = 1,830,672.42
  5. Step 5: Solve for x
    x = 1,830,672.42/576.07
  6. Step 6: Final answer
    x = 3,177.86

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.