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Finding the Third Proportional to 36,094.50 and 53,842.50

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Solution

The third proportional to 36,094.50 and 53,842.50 is: 80,317.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,094.50 : 53,842.50 = 53,842.50 : x
  2. Step 2: Convert to fraction form
    36,094.50/53,842.50 = 53,842.50/x
  3. Step 3: Cross multiply
    36,094.50x = 53,842.50 × 53,842.50
  4. Step 4: Simplify right side
    36,094.50x = 2,899,014,806.25
  5. Step 5: Solve for x
    x = 2,899,014,806.25/36,094.50
  6. Step 6: Final answer
    x = 80,317.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.