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Finding the Third Proportional to 18,645.19 and 24,527.81

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Solution

The third proportional to 18,645.19 and 24,527.81 is: 32,266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,645.19 : 24,527.81 = 24,527.81 : x
  2. Step 2: Convert to fraction form
    18,645.19/24,527.81 = 24,527.81/x
  3. Step 3: Cross multiply
    18,645.19x = 24,527.81 × 24,527.81
  4. Step 4: Simplify right side
    18,645.19x = 601,613,586.04
  5. Step 5: Solve for x
    x = 601,613,586.04/18,645.19
  6. Step 6: Final answer
    x = 32,266.43

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.