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Finding the Third Proportional to 36,802.13 and 55,054.69

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Solution

The third proportional to 36,802.13 and 55,054.69 is: 82,359.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,802.13 : 55,054.69 = 55,054.69 : x
  2. Step 2: Convert to fraction form
    36,802.13/55,054.69 = 55,054.69/x
  3. Step 3: Cross multiply
    36,802.13x = 55,054.69 × 55,054.69
  4. Step 4: Simplify right side
    36,802.13x = 3,031,018,615.72
  5. Step 5: Solve for x
    x = 3,031,018,615.72/36,802.13
  6. Step 6: Final answer
    x = 82,359.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.