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Finding the Third Proportional to 18,522 and 27,941.63

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Solution

The third proportional to 18,522 and 27,941.63 is: 42,151.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,522 : 27,941.63 = 27,941.63 : x
  2. Step 2: Convert to fraction form
    18,522/27,941.63 = 27,941.63/x
  3. Step 3: Cross multiply
    18,522x = 27,941.63 × 27,941.63
  4. Step 4: Simplify right side
    18,522x = 780,734,407.64
  5. Step 5: Solve for x
    x = 780,734,407.64/18,522
  6. Step 6: Final answer
    x = 42,151.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.