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Finding the Third Proportional to 38,516 and 84,388

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Solution

The third proportional to 38,516 and 84,388 is: 184,892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,516 : 84,388 = 84,388 : x
  2. Step 2: Convert to fraction form
    38,516/84,388 = 84,388/x
  3. Step 3: Cross multiply
    38,516x = 84,388 × 84,388
  4. Step 4: Simplify right side
    38,516x = 7,121,334,544
  5. Step 5: Solve for x
    x = 7,121,334,544/38,516
  6. Step 6: Final answer
    x = 184,892.89

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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.