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Finding the Third Proportional to 50,905 and 74,832

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Solution

The third proportional to 50,905 and 74,832 is: 110,005.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,905 : 74,832 = 74,832 : x
  2. Step 2: Convert to fraction form
    50,905/74,832 = 74,832/x
  3. Step 3: Cross multiply
    50,905x = 74,832 × 74,832
  4. Step 4: Simplify right side
    50,905x = 5,599,828,224
  5. Step 5: Solve for x
    x = 5,599,828,224/50,905
  6. Step 6: Final answer
    x = 110,005.47

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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.