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Finding the Third Proportional to 38,477 and 84,082

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Solution

The third proportional to 38,477 and 84,082 is: 183,740.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,477 : 84,082 = 84,082 : x
  2. Step 2: Convert to fraction form
    38,477/84,082 = 84,082/x
  3. Step 3: Cross multiply
    38,477x = 84,082 × 84,082
  4. Step 4: Simplify right side
    38,477x = 7,069,782,724
  5. Step 5: Solve for x
    x = 7,069,782,724/38,477
  6. Step 6: Final answer
    x = 183,740.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.