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Finding the Third Proportional to 36,536 and 53,651

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Solution

The third proportional to 36,536 and 53,651 is: 78,783.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,536 : 53,651 = 53,651 : x
  2. Step 2: Convert to fraction form
    36,536/53,651 = 53,651/x
  3. Step 3: Cross multiply
    36,536x = 53,651 × 53,651
  4. Step 4: Simplify right side
    36,536x = 2,878,429,801
  5. Step 5: Solve for x
    x = 2,878,429,801/36,536
  6. Step 6: Final answer
    x = 78,783.39

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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.