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Finding the Third Proportional to 50,985 and 74,976.75

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Solution

The third proportional to 50,985 and 74,976.75 is: 110,258.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,985 : 74,976.75 = 74,976.75 : x
  2. Step 2: Convert to fraction form
    50,985/74,976.75 = 74,976.75/x
  3. Step 3: Cross multiply
    50,985x = 74,976.75 × 74,976.75
  4. Step 4: Simplify right side
    50,985x = 5,621,513,040.56
  5. Step 5: Solve for x
    x = 5,621,513,040.56/50,985
  6. Step 6: Final answer
    x = 110,258.17

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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.