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Finding the Third Proportional to 15,468 and 36,486

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Solution

The third proportional to 15,468 and 36,486 is: 86,063.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,468 : 36,486 = 36,486 : x
  2. Step 2: Convert to fraction form
    15,468/36,486 = 36,486/x
  3. Step 3: Cross multiply
    15,468x = 36,486 × 36,486
  4. Step 4: Simplify right side
    15,468x = 1,331,228,196
  5. Step 5: Solve for x
    x = 1,331,228,196/15,468
  6. Step 6: Final answer
    x = 86,063.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.