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Finding the Third Proportional to 15,884 and 36,786

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Solution

The third proportional to 15,884 and 36,786 is: 85,193.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884 : 36,786 = 36,786 : x
  2. Step 2: Convert to fraction form
    15,884/36,786 = 36,786/x
  3. Step 3: Cross multiply
    15,884x = 36,786 × 36,786
  4. Step 4: Simplify right side
    15,884x = 1,353,209,796
  5. Step 5: Solve for x
    x = 1,353,209,796/15,884
  6. Step 6: Final answer
    x = 85,193.26

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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.