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Finding the Third Proportional to 38,944 and 84,724

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Solution

The third proportional to 38,944 and 84,724 is: 184,319.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,944 : 84,724 = 84,724 : x
  2. Step 2: Convert to fraction form
    38,944/84,724 = 84,724/x
  3. Step 3: Cross multiply
    38,944x = 84,724 × 84,724
  4. Step 4: Simplify right side
    38,944x = 7,178,156,176
  5. Step 5: Solve for x
    x = 7,178,156,176/38,944
  6. Step 6: Final answer
    x = 184,319.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.