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Finding the Third Proportional to 48,931 and 74,975

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Solution

The third proportional to 48,931 and 74,975 is: 114,881.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,931 : 74,975 = 74,975 : x
  2. Step 2: Convert to fraction form
    48,931/74,975 = 74,975/x
  3. Step 3: Cross multiply
    48,931x = 74,975 × 74,975
  4. Step 4: Simplify right side
    48,931x = 5,621,250,625
  5. Step 5: Solve for x
    x = 5,621,250,625/48,931
  6. Step 6: Final answer
    x = 114,881.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.