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Finding the Third Proportional to 42,403.50 and 94,041

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Solution

The third proportional to 42,403.50 and 94,041 is: 208,560.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,403.50 : 94,041 = 94,041 : x
  2. Step 2: Convert to fraction form
    42,403.50/94,041 = 94,041/x
  3. Step 3: Cross multiply
    42,403.50x = 94,041 × 94,041
  4. Step 4: Simplify right side
    42,403.50x = 8,843,709,681
  5. Step 5: Solve for x
    x = 8,843,709,681/42,403.50
  6. Step 6: Final answer
    x = 208,560.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.