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Finding the Third Proportional to 35,250 and 76,307

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Solution

The third proportional to 35,250 and 76,307 is: 165,184.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,250 : 76,307 = 76,307 : x
  2. Step 2: Convert to fraction form
    35,250/76,307 = 76,307/x
  3. Step 3: Cross multiply
    35,250x = 76,307 × 76,307
  4. Step 4: Simplify right side
    35,250x = 5,822,758,249
  5. Step 5: Solve for x
    x = 5,822,758,249/35,250
  6. Step 6: Final answer
    x = 165,184.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.