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Finding the Third Proportional to 17,454 and 37,095

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Solution

The third proportional to 17,454 and 37,095 is: 78,838.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,454 : 37,095 = 37,095 : x
  2. Step 2: Convert to fraction form
    17,454/37,095 = 37,095/x
  3. Step 3: Cross multiply
    17,454x = 37,095 × 37,095
  4. Step 4: Simplify right side
    17,454x = 1,376,039,025
  5. Step 5: Solve for x
    x = 1,376,039,025/17,454
  6. Step 6: Final answer
    x = 78,838.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.