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Finding the Third Proportional to 18,433.50 and 26,909

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Solution

The third proportional to 18,433.50 and 26,909 is: 39,281.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,433.50 : 26,909 = 26,909 : x
  2. Step 2: Convert to fraction form
    18,433.50/26,909 = 26,909/x
  3. Step 3: Cross multiply
    18,433.50x = 26,909 × 26,909
  4. Step 4: Simplify right side
    18,433.50x = 724,094,281
  5. Step 5: Solve for x
    x = 724,094,281/18,433.50
  6. Step 6: Final answer
    x = 39,281.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.