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Finding the Third Proportional to 38,983 and 50,977.75

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Solution

The third proportional to 38,983 and 50,977.75 is: 66,663.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,983 : 50,977.75 = 50,977.75 : x
  2. Step 2: Convert to fraction form
    38,983/50,977.75 = 50,977.75/x
  3. Step 3: Cross multiply
    38,983x = 50,977.75 × 50,977.75
  4. Step 4: Simplify right side
    38,983x = 2,598,730,995.06
  5. Step 5: Solve for x
    x = 2,598,730,995.06/38,983
  6. Step 6: Final answer
    x = 66,663.19

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.