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Finding the Third Proportional to 40,059.75 and 65,109.75

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Solution

The third proportional to 40,059.75 and 65,109.75 is: 105,823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,059.75 : 65,109.75 = 65,109.75 : x
  2. Step 2: Convert to fraction form
    40,059.75/65,109.75 = 65,109.75/x
  3. Step 3: Cross multiply
    40,059.75x = 65,109.75 × 65,109.75
  4. Step 4: Simplify right side
    40,059.75x = 4,239,279,545.06
  5. Step 5: Solve for x
    x = 4,239,279,545.06/40,059.75
  6. Step 6: Final answer
    x = 105,823.91

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.