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Finding the Third Proportional to 49,424 and 74,564

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Solution

The third proportional to 49,424 and 74,564 is: 112,491.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,424 : 74,564 = 74,564 : x
  2. Step 2: Convert to fraction form
    49,424/74,564 = 74,564/x
  3. Step 3: Cross multiply
    49,424x = 74,564 × 74,564
  4. Step 4: Simplify right side
    49,424x = 5,559,790,096
  5. Step 5: Solve for x
    x = 5,559,790,096/49,424
  6. Step 6: Final answer
    x = 112,491.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.