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Finding the Third Proportional to 7,475 and 15,923

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Solution

The third proportional to 7,475 and 15,923 is: 33,918.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,475 : 15,923 = 15,923 : x
  2. Step 2: Convert to fraction form
    7,475/15,923 = 15,923/x
  3. Step 3: Cross multiply
    7,475x = 15,923 × 15,923
  4. Step 4: Simplify right side
    7,475x = 253,541,929
  5. Step 5: Solve for x
    x = 253,541,929/7,475
  6. Step 6: Final answer
    x = 33,918.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.