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Finding the Third Proportional to 15,785 and 36,546

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Solution

The third proportional to 15,785 and 36,546 is: 84,612.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,785 : 36,546 = 36,546 : x
  2. Step 2: Convert to fraction form
    15,785/36,546 = 36,546/x
  3. Step 3: Cross multiply
    15,785x = 36,546 × 36,546
  4. Step 4: Simplify right side
    15,785x = 1,335,610,116
  5. Step 5: Solve for x
    x = 1,335,610,116/15,785
  6. Step 6: Final answer
    x = 84,612.61

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.