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Finding the Third Proportional to 51,018.75 and 74,967.75

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Solution

The third proportional to 51,018.75 and 74,967.75 is: 110,158.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,018.75 : 74,967.75 = 74,967.75 : x
  2. Step 2: Convert to fraction form
    51,018.75/74,967.75 = 74,967.75/x
  3. Step 3: Cross multiply
    51,018.75x = 74,967.75 × 74,967.75
  4. Step 4: Simplify right side
    51,018.75x = 5,620,163,540.06
  5. Step 5: Solve for x
    x = 5,620,163,540.06/51,018.75
  6. Step 6: Final answer
    x = 110,158.79

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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.