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Finding the Third Proportional to 40,515.19 and 86,568.75

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Solution

The third proportional to 40,515.19 and 86,568.75 is: 184,971.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,515.19 : 86,568.75 = 86,568.75 : x
  2. Step 2: Convert to fraction form
    40,515.19/86,568.75 = 86,568.75/x
  3. Step 3: Cross multiply
    40,515.19x = 86,568.75 × 86,568.75
  4. Step 4: Simplify right side
    40,515.19x = 7,494,148,476.56
  5. Step 5: Solve for x
    x = 7,494,148,476.56/40,515.19
  6. Step 6: Final answer
    x = 184,971.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.