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Finding the Third Proportional to 38,900.25 and 53,490.38

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Solution

The third proportional to 38,900.25 and 53,490.38 is: 73,552.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,900.25 : 53,490.38 = 53,490.38 : x
  2. Step 2: Convert to fraction form
    38,900.25/53,490.38 = 53,490.38/x
  3. Step 3: Cross multiply
    38,900.25x = 53,490.38 × 53,490.38
  4. Step 4: Simplify right side
    38,900.25x = 2,861,220,217.64
  5. Step 5: Solve for x
    x = 2,861,220,217.64/38,900.25
  6. Step 6: Final answer
    x = 73,552.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.