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Finding the Third Proportional to 38,078.75 and 82,513

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Solution

The third proportional to 38,078.75 and 82,513 is: 178,797.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,078.75 : 82,513 = 82,513 : x
  2. Step 2: Convert to fraction form
    38,078.75/82,513 = 82,513/x
  3. Step 3: Cross multiply
    38,078.75x = 82,513 × 82,513
  4. Step 4: Simplify right side
    38,078.75x = 6,808,395,169
  5. Step 5: Solve for x
    x = 6,808,395,169/38,078.75
  6. Step 6: Final answer
    x = 178,797.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.