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Finding the Third Proportional to 37,589.06 and 81,054.28

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Solution

The third proportional to 37,589.06 and 81,054.28 is: 174,779.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,589.06 : 81,054.28 = 81,054.28 : x
  2. Step 2: Convert to fraction form
    37,589.06/81,054.28 = 81,054.28/x
  3. Step 3: Cross multiply
    37,589.06x = 81,054.28 × 81,054.28
  4. Step 4: Simplify right side
    37,589.06x = 6,569,796,508.95
  5. Step 5: Solve for x
    x = 6,569,796,508.95/37,589.06
  6. Step 6: Final answer
    x = 174,779.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.