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Finding the Third Proportional to 36,495 and 77,698

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Solution

The third proportional to 36,495 and 77,698 is: 165,419.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,495 : 77,698 = 77,698 : x
  2. Step 2: Convert to fraction form
    36,495/77,698 = 77,698/x
  3. Step 3: Cross multiply
    36,495x = 77,698 × 77,698
  4. Step 4: Simplify right side
    36,495x = 6,036,979,204
  5. Step 5: Solve for x
    x = 6,036,979,204/36,495
  6. Step 6: Final answer
    x = 165,419.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.