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Finding the Third Proportional to 4,314.50 and 9,418.75

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Solution

The third proportional to 4,314.50 and 9,418.75 is: 20,561.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.50 : 9,418.75 = 9,418.75 : x
  2. Step 2: Convert to fraction form
    4,314.50/9,418.75 = 9,418.75/x
  3. Step 3: Cross multiply
    4,314.50x = 9,418.75 × 9,418.75
  4. Step 4: Simplify right side
    4,314.50x = 88,712,851.56
  5. Step 5: Solve for x
    x = 88,712,851.56/4,314.50
  6. Step 6: Final answer
    x = 20,561.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.