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Finding the Third Proportional to 4,672.37 and 7,008.40

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Solution

The third proportional to 4,672.37 and 7,008.40 is: 10,512.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.37 : 7,008.40 = 7,008.40 : x
  2. Step 2: Convert to fraction form
    4,672.37/7,008.40 = 7,008.40/x
  3. Step 3: Cross multiply
    4,672.37x = 7,008.40 × 7,008.40
  4. Step 4: Simplify right side
    4,672.37x = 49,117,648.66
  5. Step 5: Solve for x
    x = 49,117,648.66/4,672.37
  6. Step 6: Final answer
    x = 10,512.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.