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Finding the Third Proportional to 38,507.25 and 51,507.75

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Solution

The third proportional to 38,507.25 and 51,507.75 is: 68,897.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,507.25 : 51,507.75 = 51,507.75 : x
  2. Step 2: Convert to fraction form
    38,507.25/51,507.75 = 51,507.75/x
  3. Step 3: Cross multiply
    38,507.25x = 51,507.75 × 51,507.75
  4. Step 4: Simplify right side
    38,507.25x = 2,653,048,310.06
  5. Step 5: Solve for x
    x = 2,653,048,310.06/38,507.25
  6. Step 6: Final answer
    x = 68,897.37

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.