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Finding the Third Proportional to 18,188 and 28,082

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Solution

The third proportional to 18,188 and 28,082 is: 43,358.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,188 : 28,082 = 28,082 : x
  2. Step 2: Convert to fraction form
    18,188/28,082 = 28,082/x
  3. Step 3: Cross multiply
    18,188x = 28,082 × 28,082
  4. Step 4: Simplify right side
    18,188x = 788,598,724
  5. Step 5: Solve for x
    x = 788,598,724/18,188
  6. Step 6: Final answer
    x = 43,358.19

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Why These Related Problems?

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