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Finding the Third Proportional to 54,477 and 75,015

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Solution

The third proportional to 54,477 and 75,015 is: 103,295.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,477 : 75,015 = 75,015 : x
  2. Step 2: Convert to fraction form
    54,477/75,015 = 75,015/x
  3. Step 3: Cross multiply
    54,477x = 75,015 × 75,015
  4. Step 4: Simplify right side
    54,477x = 5,627,250,225
  5. Step 5: Solve for x
    x = 5,627,250,225/54,477
  6. Step 6: Final answer
    x = 103,295.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.