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Finding the Third Proportional to 37,920.66 and 54,623.11

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Solution

The third proportional to 37,920.66 and 54,623.11 is: 78,682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,920.66 : 54,623.11 = 54,623.11 : x
  2. Step 2: Convert to fraction form
    37,920.66/54,623.11 = 54,623.11/x
  3. Step 3: Cross multiply
    37,920.66x = 54,623.11 × 54,623.11
  4. Step 4: Simplify right side
    37,920.66x = 2,983,684,077.79
  5. Step 5: Solve for x
    x = 2,983,684,077.79/37,920.66
  6. Step 6: Final answer
    x = 78,682.29

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.