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Finding the Third Proportional to 40,521.52 and 65,107.23

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Solution

The third proportional to 40,521.52 and 65,107.23 is: 104,609.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,521.52 : 65,107.23 = 65,107.23 : x
  2. Step 2: Convert to fraction form
    40,521.52/65,107.23 = 65,107.23/x
  3. Step 3: Cross multiply
    40,521.52x = 65,107.23 × 65,107.23
  4. Step 4: Simplify right side
    40,521.52x = 4,238,951,459.31
  5. Step 5: Solve for x
    x = 4,238,951,459.31/40,521.52
  6. Step 6: Final answer
    x = 104,609.89

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.