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Finding the Third Proportional to 15,786 and 36,549

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Solution

The third proportional to 15,786 and 36,549 is: 84,621.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,786 : 36,549 = 36,549 : x
  2. Step 2: Convert to fraction form
    15,786/36,549 = 36,549/x
  3. Step 3: Cross multiply
    15,786x = 36,549 × 36,549
  4. Step 4: Simplify right side
    15,786x = 1,335,829,401
  5. Step 5: Solve for x
    x = 1,335,829,401/15,786
  6. Step 6: Final answer
    x = 84,621.15

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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.