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Finding the Third Proportional to 27,958.50 and 54,516

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Solution

The third proportional to 27,958.50 and 54,516 is: 106,300.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,958.50 : 54,516 = 54,516 : x
  2. Step 2: Convert to fraction form
    27,958.50/54,516 = 54,516/x
  3. Step 3: Cross multiply
    27,958.50x = 54,516 × 54,516
  4. Step 4: Simplify right side
    27,958.50x = 2,971,994,256
  5. Step 5: Solve for x
    x = 2,971,994,256/27,958.50
  6. Step 6: Final answer
    x = 106,300.20

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.