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Finding the Third Proportional to 19,884.66 and 42,503.06

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Solution

The third proportional to 19,884.66 and 42,503.06 is: 90,849.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,884.66 : 42,503.06 = 42,503.06 : x
  2. Step 2: Convert to fraction form
    19,884.66/42,503.06 = 42,503.06/x
  3. Step 3: Cross multiply
    19,884.66x = 42,503.06 × 42,503.06
  4. Step 4: Simplify right side
    19,884.66x = 1,806,510,321.88
  5. Step 5: Solve for x
    x = 1,806,510,321.88/19,884.66
  6. Step 6: Final answer
    x = 90,849.46

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.