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Finding the Third Proportional to 36,865.13 and 53,815.50

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Solution

The third proportional to 36,865.13 and 53,815.50 is: 78,559.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,865.13 : 53,815.50 = 53,815.50 : x
  2. Step 2: Convert to fraction form
    36,865.13/53,815.50 = 53,815.50/x
  3. Step 3: Cross multiply
    36,865.13x = 53,815.50 × 53,815.50
  4. Step 4: Simplify right side
    36,865.13x = 2,896,108,040.25
  5. Step 5: Solve for x
    x = 2,896,108,040.25/36,865.13
  6. Step 6: Final answer
    x = 78,559.56

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.