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Finding the Third Proportional to 39,558 and 60,513

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Solution

The third proportional to 39,558 and 60,513 is: 92,568.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,558 : 60,513 = 60,513 : x
  2. Step 2: Convert to fraction form
    39,558/60,513 = 60,513/x
  3. Step 3: Cross multiply
    39,558x = 60,513 × 60,513
  4. Step 4: Simplify right side
    39,558x = 3,661,823,169
  5. Step 5: Solve for x
    x = 3,661,823,169/39,558
  6. Step 6: Final answer
    x = 92,568.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.