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Finding the Third Proportional to 43,315.50 and 94,623

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Solution

The third proportional to 43,315.50 and 94,623 is: 206,704.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,315.50 : 94,623 = 94,623 : x
  2. Step 2: Convert to fraction form
    43,315.50/94,623 = 94,623/x
  3. Step 3: Cross multiply
    43,315.50x = 94,623 × 94,623
  4. Step 4: Simplify right side
    43,315.50x = 8,953,512,129
  5. Step 5: Solve for x
    x = 8,953,512,129/43,315.50
  6. Step 6: Final answer
    x = 206,704.58

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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.