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Finding the Third Proportional to 36,277 and 53,173.50

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Solution

The third proportional to 36,277 and 53,173.50 is: 77,939.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,277 : 53,173.50 = 53,173.50 : x
  2. Step 2: Convert to fraction form
    36,277/53,173.50 = 53,173.50/x
  3. Step 3: Cross multiply
    36,277x = 53,173.50 × 53,173.50
  4. Step 4: Simplify right side
    36,277x = 2,827,421,102.25
  5. Step 5: Solve for x
    x = 2,827,421,102.25/36,277
  6. Step 6: Final answer
    x = 77,939.77

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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.