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Finding the Third Proportional to 36,308 and 52,014

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Solution

The third proportional to 36,308 and 52,014 is: 74,514.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,308 : 52,014 = 52,014 : x
  2. Step 2: Convert to fraction form
    36,308/52,014 = 52,014/x
  3. Step 3: Cross multiply
    36,308x = 52,014 × 52,014
  4. Step 4: Simplify right side
    36,308x = 2,705,456,196
  5. Step 5: Solve for x
    x = 2,705,456,196/36,308
  6. Step 6: Final answer
    x = 74,514.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.