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Finding the Third Proportional to 51,921.84 and 77,796.28

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Solution

The third proportional to 51,921.84 and 77,796.28 is: 116,564.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,921.84 : 77,796.28 = 77,796.28 : x
  2. Step 2: Convert to fraction form
    51,921.84/77,796.28 = 77,796.28/x
  3. Step 3: Cross multiply
    51,921.84x = 77,796.28 × 77,796.28
  4. Step 4: Simplify right side
    51,921.84x = 6,052,261,376.33
  5. Step 5: Solve for x
    x = 6,052,261,376.33/51,921.84
  6. Step 6: Final answer
    x = 116,564.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.