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Finding the Third Proportional to 51,441 and 73,419.75

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Solution

The third proportional to 51,441 and 73,419.75 is: 104,789.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,441 : 73,419.75 = 73,419.75 : x
  2. Step 2: Convert to fraction form
    51,441/73,419.75 = 73,419.75/x
  3. Step 3: Cross multiply
    51,441x = 73,419.75 × 73,419.75
  4. Step 4: Simplify right side
    51,441x = 5,390,459,690.06
  5. Step 5: Solve for x
    x = 5,390,459,690.06/51,441
  6. Step 6: Final answer
    x = 104,789.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.