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Finding the Third Proportional to 36,568 and 53,465

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Solution

The third proportional to 36,568 and 53,465 is: 78,169.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,568 : 53,465 = 53,465 : x
  2. Step 2: Convert to fraction form
    36,568/53,465 = 53,465/x
  3. Step 3: Cross multiply
    36,568x = 53,465 × 53,465
  4. Step 4: Simplify right side
    36,568x = 2,858,506,225
  5. Step 5: Solve for x
    x = 2,858,506,225/36,568
  6. Step 6: Final answer
    x = 78,169.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.