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Finding the Third Proportional to 49,600 and 74,513

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Solution

The third proportional to 49,600 and 74,513 is: 111,939.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,600 : 74,513 = 74,513 : x
  2. Step 2: Convert to fraction form
    49,600/74,513 = 74,513/x
  3. Step 3: Cross multiply
    49,600x = 74,513 × 74,513
  4. Step 4: Simplify right side
    49,600x = 5,552,187,169
  5. Step 5: Solve for x
    x = 5,552,187,169/49,600
  6. Step 6: Final answer
    x = 111,939.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.