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Finding the Third Proportional to 40,915.13 and 65,544.19

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Solution

The third proportional to 40,915.13 and 65,544.19 is: 104,998.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,915.13 : 65,544.19 = 65,544.19 : x
  2. Step 2: Convert to fraction form
    40,915.13/65,544.19 = 65,544.19/x
  3. Step 3: Cross multiply
    40,915.13x = 65,544.19 × 65,544.19
  4. Step 4: Simplify right side
    40,915.13x = 4,296,040,515.04
  5. Step 5: Solve for x
    x = 4,296,040,515.04/40,915.13
  6. Step 6: Final answer
    x = 104,998.84

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.