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Finding the Third Proportional to 36,513.75 and 77,735.63

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Solution

The third proportional to 36,513.75 and 77,735.63 is: 165,494.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,513.75 : 77,735.63 = 77,735.63 : x
  2. Step 2: Convert to fraction form
    36,513.75/77,735.63 = 77,735.63/x
  3. Step 3: Cross multiply
    36,513.75x = 77,735.63 × 77,735.63
  4. Step 4: Simplify right side
    36,513.75x = 6,042,827,394.14
  5. Step 5: Solve for x
    x = 6,042,827,394.14/36,513.75
  6. Step 6: Final answer
    x = 165,494.57

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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.