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Finding the Third Proportional to 7,475.25 and 15,437.25

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Solution

The third proportional to 7,475.25 and 15,437.25 is: 31,879.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,475.25 : 15,437.25 = 15,437.25 : x
  2. Step 2: Convert to fraction form
    7,475.25/15,437.25 = 15,437.25/x
  3. Step 3: Cross multiply
    7,475.25x = 15,437.25 × 15,437.25
  4. Step 4: Simplify right side
    7,475.25x = 238,308,687.56
  5. Step 5: Solve for x
    x = 238,308,687.56/7,475.25
  6. Step 6: Final answer
    x = 31,879.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.