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Finding the Third Proportional to 15,884 and 36,770

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Solution

The third proportional to 15,884 and 36,770 is: 85,119.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884 : 36,770 = 36,770 : x
  2. Step 2: Convert to fraction form
    15,884/36,770 = 36,770/x
  3. Step 3: Cross multiply
    15,884x = 36,770 × 36,770
  4. Step 4: Simplify right side
    15,884x = 1,352,032,900
  5. Step 5: Solve for x
    x = 1,352,032,900/15,884
  6. Step 6: Final answer
    x = 85,119.17

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.