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Finding the Third Proportional to 19,503.50 and 42,821

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Solution

The third proportional to 19,503.50 and 42,821 is: 94,015.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,503.50 : 42,821 = 42,821 : x
  2. Step 2: Convert to fraction form
    19,503.50/42,821 = 42,821/x
  3. Step 3: Cross multiply
    19,503.50x = 42,821 × 42,821
  4. Step 4: Simplify right side
    19,503.50x = 1,833,638,041
  5. Step 5: Solve for x
    x = 1,833,638,041/19,503.50
  6. Step 6: Final answer
    x = 94,015.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.