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Finding the Third Proportional to 50,724 and 74,649

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Solution

The third proportional to 50,724 and 74,649 is: 109,858.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,724 : 74,649 = 74,649 : x
  2. Step 2: Convert to fraction form
    50,724/74,649 = 74,649/x
  3. Step 3: Cross multiply
    50,724x = 74,649 × 74,649
  4. Step 4: Simplify right side
    50,724x = 5,572,473,201
  5. Step 5: Solve for x
    x = 5,572,473,201/50,724
  6. Step 6: Final answer
    x = 109,858.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.