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Finding the Third Proportional to 51,605.40 and 72,672.37

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Solution

The third proportional to 51,605.40 and 72,672.37 is: 102,339.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,605.40 : 72,672.37 = 72,672.37 : x
  2. Step 2: Convert to fraction form
    51,605.40/72,672.37 = 72,672.37/x
  3. Step 3: Cross multiply
    51,605.40x = 72,672.37 × 72,672.37
  4. Step 4: Simplify right side
    51,605.40x = 5,281,272,704.24
  5. Step 5: Solve for x
    x = 5,281,272,704.24/51,605.40
  6. Step 6: Final answer
    x = 102,339.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.