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Finding the Third Proportional to 37,804 and 78,718

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Solution

The third proportional to 37,804 and 78,718 is: 163,911.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,804 : 78,718 = 78,718 : x
  2. Step 2: Convert to fraction form
    37,804/78,718 = 78,718/x
  3. Step 3: Cross multiply
    37,804x = 78,718 × 78,718
  4. Step 4: Simplify right side
    37,804x = 6,196,523,524
  5. Step 5: Solve for x
    x = 6,196,523,524/37,804
  6. Step 6: Final answer
    x = 163,911.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.