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Finding the Third Proportional to 17,156 and 37,432

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Solution

The third proportional to 17,156 and 37,432 is: 81,671.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,156 : 37,432 = 37,432 : x
  2. Step 2: Convert to fraction form
    17,156/37,432 = 37,432/x
  3. Step 3: Cross multiply
    17,156x = 37,432 × 37,432
  4. Step 4: Simplify right side
    17,156x = 1,401,154,624
  5. Step 5: Solve for x
    x = 1,401,154,624/17,156
  6. Step 6: Final answer
    x = 81,671.40

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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.