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Finding the Third Proportional to 17,376 and 37,454

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Solution

The third proportional to 17,376 and 37,454 is: 80,732.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,376 : 37,454 = 37,454 : x
  2. Step 2: Convert to fraction form
    17,376/37,454 = 37,454/x
  3. Step 3: Cross multiply
    17,376x = 37,454 × 37,454
  4. Step 4: Simplify right side
    17,376x = 1,402,802,116
  5. Step 5: Solve for x
    x = 1,402,802,116/17,376
  6. Step 6: Final answer
    x = 80,732.17

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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.