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Finding the Third Proportional to 45,418.50 and 68,537.25

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Solution

The third proportional to 45,418.50 and 68,537.25 is: 103,423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,418.50 : 68,537.25 = 68,537.25 : x
  2. Step 2: Convert to fraction form
    45,418.50/68,537.25 = 68,537.25/x
  3. Step 3: Cross multiply
    45,418.50x = 68,537.25 × 68,537.25
  4. Step 4: Simplify right side
    45,418.50x = 4,697,354,637.56
  5. Step 5: Solve for x
    x = 4,697,354,637.56/45,418.50
  6. Step 6: Final answer
    x = 103,423.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.