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Finding the Third Proportional to 36,034 and 53,125

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Solution

The third proportional to 36,034 and 53,125 is: 78,322.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,034 : 53,125 = 53,125 : x
  2. Step 2: Convert to fraction form
    36,034/53,125 = 53,125/x
  3. Step 3: Cross multiply
    36,034x = 53,125 × 53,125
  4. Step 4: Simplify right side
    36,034x = 2,822,265,625
  5. Step 5: Solve for x
    x = 2,822,265,625/36,034
  6. Step 6: Final answer
    x = 78,322.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.