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Finding the Third Proportional to 18,713.81 and 27,522.84

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Solution

The third proportional to 18,713.81 and 27,522.84 is: 40,478.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,713.81 : 27,522.84 = 27,522.84 : x
  2. Step 2: Convert to fraction form
    18,713.81/27,522.84 = 27,522.84/x
  3. Step 3: Cross multiply
    18,713.81x = 27,522.84 × 27,522.84
  4. Step 4: Simplify right side
    18,713.81x = 757,506,928.09
  5. Step 5: Solve for x
    x = 757,506,928.09/18,713.81
  6. Step 6: Final answer
    x = 40,478.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.