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Finding the Third Proportional to 15,285.75 and 31,523.25

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Solution

The third proportional to 15,285.75 and 31,523.25 is: 65,009.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,285.75 : 31,523.25 = 31,523.25 : x
  2. Step 2: Convert to fraction form
    15,285.75/31,523.25 = 31,523.25/x
  3. Step 3: Cross multiply
    15,285.75x = 31,523.25 × 31,523.25
  4. Step 4: Simplify right side
    15,285.75x = 993,715,290.56
  5. Step 5: Solve for x
    x = 993,715,290.56/15,285.75
  6. Step 6: Final answer
    x = 65,009.26

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.