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Finding the Third Proportional to 36,994.50 and 52,346.50

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Solution

The third proportional to 36,994.50 and 52,346.50 is: 74,069.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,994.50 : 52,346.50 = 52,346.50 : x
  2. Step 2: Convert to fraction form
    36,994.50/52,346.50 = 52,346.50/x
  3. Step 3: Cross multiply
    36,994.50x = 52,346.50 × 52,346.50
  4. Step 4: Simplify right side
    36,994.50x = 2,740,156,062.25
  5. Step 5: Solve for x
    x = 2,740,156,062.25/36,994.50
  6. Step 6: Final answer
    x = 74,069.28

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.