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Finding the Third Proportional to 38,688 and 84,416

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Solution

The third proportional to 38,688 and 84,416 is: 184,193.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,688 : 84,416 = 84,416 : x
  2. Step 2: Convert to fraction form
    38,688/84,416 = 84,416/x
  3. Step 3: Cross multiply
    38,688x = 84,416 × 84,416
  4. Step 4: Simplify right side
    38,688x = 7,126,061,056
  5. Step 5: Solve for x
    x = 7,126,061,056/38,688
  6. Step 6: Final answer
    x = 184,193.06

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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.