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Finding the Third Proportional to 37,737 and 77,863.50

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Solution

The third proportional to 37,737 and 77,863.50 is: 160,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,737 : 77,863.50 = 77,863.50 : x
  2. Step 2: Convert to fraction form
    37,737/77,863.50 = 77,863.50/x
  3. Step 3: Cross multiply
    37,737x = 77,863.50 × 77,863.50
  4. Step 4: Simplify right side
    37,737x = 6,062,724,632.25
  5. Step 5: Solve for x
    x = 6,062,724,632.25/37,737
  6. Step 6: Final answer
    x = 160,657.30

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.