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Finding the Third Proportional to 15,171 and 32,982

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Solution

The third proportional to 15,171 and 32,982 is: 71,703.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,171 : 32,982 = 32,982 : x
  2. Step 2: Convert to fraction form
    15,171/32,982 = 32,982/x
  3. Step 3: Cross multiply
    15,171x = 32,982 × 32,982
  4. Step 4: Simplify right side
    15,171x = 1,087,812,324
  5. Step 5: Solve for x
    x = 1,087,812,324/15,171
  6. Step 6: Final answer
    x = 71,703.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.