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Finding the Third Proportional to 8,526.38 and 18,236.81

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Solution

The third proportional to 8,526.38 and 18,236.81 is: 39,006.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,526.38 : 18,236.81 = 18,236.81 : x
  2. Step 2: Convert to fraction form
    8,526.38/18,236.81 = 18,236.81/x
  3. Step 3: Cross multiply
    8,526.38x = 18,236.81 × 18,236.81
  4. Step 4: Simplify right side
    8,526.38x = 332,581,330.16
  5. Step 5: Solve for x
    x = 332,581,330.16/8,526.38
  6. Step 6: Final answer
    x = 39,006.18

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Why These Related Problems?

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