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Finding the Third Proportional to 15,105.75 and 31,182.75

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Solution

The third proportional to 15,105.75 and 31,182.75 is: 64,370.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,105.75 : 31,182.75 = 31,182.75 : x
  2. Step 2: Convert to fraction form
    15,105.75/31,182.75 = 31,182.75/x
  3. Step 3: Cross multiply
    15,105.75x = 31,182.75 × 31,182.75
  4. Step 4: Simplify right side
    15,105.75x = 972,363,897.56
  5. Step 5: Solve for x
    x = 972,363,897.56/15,105.75
  6. Step 6: Final answer
    x = 64,370.45

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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.