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Finding the Third Proportional to 39,516.75 and 70,261.88

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Solution

The third proportional to 39,516.75 and 70,261.88 is: 124,927.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,516.75 : 70,261.88 = 70,261.88 : x
  2. Step 2: Convert to fraction form
    39,516.75/70,261.88 = 70,261.88/x
  3. Step 3: Cross multiply
    39,516.75x = 70,261.88 × 70,261.88
  4. Step 4: Simplify right side
    39,516.75x = 4,936,731,078.52
  5. Step 5: Solve for x
    x = 4,936,731,078.52/39,516.75
  6. Step 6: Final answer
    x = 124,927.56

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.