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Finding the Third Proportional to 35,718 and 76,913

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Solution

The third proportional to 35,718 and 76,913 is: 165,619.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,718 : 76,913 = 76,913 : x
  2. Step 2: Convert to fraction form
    35,718/76,913 = 76,913/x
  3. Step 3: Cross multiply
    35,718x = 76,913 × 76,913
  4. Step 4: Simplify right side
    35,718x = 5,915,609,569
  5. Step 5: Solve for x
    x = 5,915,609,569/35,718
  6. Step 6: Final answer
    x = 165,619.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.