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Finding the Third Proportional to 19,504.50 and 42,014.63

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Solution

The third proportional to 19,504.50 and 42,014.63 is: 90,503.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,504.50 : 42,014.63 = 42,014.63 : x
  2. Step 2: Convert to fraction form
    19,504.50/42,014.63 = 42,014.63/x
  3. Step 3: Cross multiply
    19,504.50x = 42,014.63 × 42,014.63
  4. Step 4: Simplify right side
    19,504.50x = 1,765,228,713.89
  5. Step 5: Solve for x
    x = 1,765,228,713.89/19,504.50
  6. Step 6: Final answer
    x = 90,503.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.