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Finding the Third Proportional to 36,476 and 53,529

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Solution

The third proportional to 36,476 and 53,529 is: 78,554.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,476 : 53,529 = 53,529 : x
  2. Step 2: Convert to fraction form
    36,476/53,529 = 53,529/x
  3. Step 3: Cross multiply
    36,476x = 53,529 × 53,529
  4. Step 4: Simplify right side
    36,476x = 2,865,353,841
  5. Step 5: Solve for x
    x = 2,865,353,841/36,476
  6. Step 6: Final answer
    x = 78,554.50

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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.