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Finding the Third Proportional to 36,448 and 53,436

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Solution

The third proportional to 36,448 and 53,436 is: 78,341.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,448 : 53,436 = 53,436 : x
  2. Step 2: Convert to fraction form
    36,448/53,436 = 53,436/x
  3. Step 3: Cross multiply
    36,448x = 53,436 × 53,436
  4. Step 4: Simplify right side
    36,448x = 2,855,406,096
  5. Step 5: Solve for x
    x = 2,855,406,096/36,448
  6. Step 6: Final answer
    x = 78,341.91

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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.