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Finding the Third Proportional to 15,977 and 34,753

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Solution

The third proportional to 15,977 and 34,753 is: 75,594.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,977 : 34,753 = 34,753 : x
  2. Step 2: Convert to fraction form
    15,977/34,753 = 34,753/x
  3. Step 3: Cross multiply
    15,977x = 34,753 × 34,753
  4. Step 4: Simplify right side
    15,977x = 1,207,771,009
  5. Step 5: Solve for x
    x = 1,207,771,009/15,977
  6. Step 6: Final answer
    x = 75,594.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.