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Finding the Third Proportional to 37,315.69 and 54,872.44

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Solution

The third proportional to 37,315.69 and 54,872.44 is: 80,689.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,315.69 : 54,872.44 = 54,872.44 : x
  2. Step 2: Convert to fraction form
    37,315.69/54,872.44 = 54,872.44/x
  3. Step 3: Cross multiply
    37,315.69x = 54,872.44 × 54,872.44
  4. Step 4: Simplify right side
    37,315.69x = 3,010,984,397.19
  5. Step 5: Solve for x
    x = 3,010,984,397.19/37,315.69
  6. Step 6: Final answer
    x = 80,689.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.