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Finding the Third Proportional to 36,468 and 78,524

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Solution

The third proportional to 36,468 and 78,524 is: 169,080.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,468 : 78,524 = 78,524 : x
  2. Step 2: Convert to fraction form
    36,468/78,524 = 78,524/x
  3. Step 3: Cross multiply
    36,468x = 78,524 × 78,524
  4. Step 4: Simplify right side
    36,468x = 6,166,018,576
  5. Step 5: Solve for x
    x = 6,166,018,576/36,468
  6. Step 6: Final answer
    x = 169,080.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.