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Finding the Third Proportional to 25,344.56 and 37,053.84

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Solution

The third proportional to 25,344.56 and 37,053.84 is: 54,172.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,344.56 : 37,053.84 = 37,053.84 : x
  2. Step 2: Convert to fraction form
    25,344.56/37,053.84 = 37,053.84/x
  3. Step 3: Cross multiply
    25,344.56x = 37,053.84 × 37,053.84
  4. Step 4: Simplify right side
    25,344.56x = 1,372,987,336.65
  5. Step 5: Solve for x
    x = 1,372,987,336.65/25,344.56
  6. Step 6: Final answer
    x = 54,172.86

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.