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Finding the Third Proportional to 38,346 and 78,552

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Solution

The third proportional to 38,346 and 78,552 is: 160,914.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,346 : 78,552 = 78,552 : x
  2. Step 2: Convert to fraction form
    38,346/78,552 = 78,552/x
  3. Step 3: Cross multiply
    38,346x = 78,552 × 78,552
  4. Step 4: Simplify right side
    38,346x = 6,170,416,704
  5. Step 5: Solve for x
    x = 6,170,416,704/38,346
  6. Step 6: Final answer
    x = 160,914.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.