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Finding the Third Proportional to 41,267.88 and 65,646.31

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Solution

The third proportional to 41,267.88 and 65,646.31 is: 104,425.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,267.88 : 65,646.31 = 65,646.31 : x
  2. Step 2: Convert to fraction form
    41,267.88/65,646.31 = 65,646.31/x
  3. Step 3: Cross multiply
    41,267.88x = 65,646.31 × 65,646.31
  4. Step 4: Simplify right side
    41,267.88x = 4,309,437,703.77
  5. Step 5: Solve for x
    x = 4,309,437,703.77/41,267.88
  6. Step 6: Final answer
    x = 104,425.96

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.