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Finding the Third Proportional to 35,115 and 47,307

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Solution

The third proportional to 35,115 and 47,307 is: 63,732.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,115 : 47,307 = 47,307 : x
  2. Step 2: Convert to fraction form
    35,115/47,307 = 47,307/x
  3. Step 3: Cross multiply
    35,115x = 47,307 × 47,307
  4. Step 4: Simplify right side
    35,115x = 2,237,952,249
  5. Step 5: Solve for x
    x = 2,237,952,249/35,115
  6. Step 6: Final answer
    x = 63,732.09

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.