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Finding the Third Proportional to 13,631.73 and 21,055.57

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Solution

The third proportional to 13,631.73 and 21,055.57 is: 32,522.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,631.73 : 21,055.57 = 21,055.57 : x
  2. Step 2: Convert to fraction form
    13,631.73/21,055.57 = 21,055.57/x
  3. Step 3: Cross multiply
    13,631.73x = 21,055.57 × 21,055.57
  4. Step 4: Simplify right side
    13,631.73x = 443,337,041.18
  5. Step 5: Solve for x
    x = 443,337,041.18/13,631.73
  6. Step 6: Final answer
    x = 32,522.43

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.