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Finding the Third Proportional to 53,950.50 and 73,041

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Solution

The third proportional to 53,950.50 and 73,041 is: 98,886.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,950.50 : 73,041 = 73,041 : x
  2. Step 2: Convert to fraction form
    53,950.50/73,041 = 73,041/x
  3. Step 3: Cross multiply
    53,950.50x = 73,041 × 73,041
  4. Step 4: Simplify right side
    53,950.50x = 5,334,987,681
  5. Step 5: Solve for x
    x = 5,334,987,681/53,950.50
  6. Step 6: Final answer
    x = 98,886.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.