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Finding the Third Proportional to 36,312.56 and 49,505.44

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Solution

The third proportional to 36,312.56 and 49,505.44 is: 67,491.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,312.56 : 49,505.44 = 49,505.44 : x
  2. Step 2: Convert to fraction form
    36,312.56/49,505.44 = 49,505.44/x
  3. Step 3: Cross multiply
    36,312.56x = 49,505.44 × 49,505.44
  4. Step 4: Simplify right side
    36,312.56x = 2,450,788,342.07
  5. Step 5: Solve for x
    x = 2,450,788,342.07/36,312.56
  6. Step 6: Final answer
    x = 67,491.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.