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Finding the Third Proportional to 19,034 and 27,416

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Solution

The third proportional to 19,034 and 27,416 is: 39,489.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,034 : 27,416 = 27,416 : x
  2. Step 2: Convert to fraction form
    19,034/27,416 = 27,416/x
  3. Step 3: Cross multiply
    19,034x = 27,416 × 27,416
  4. Step 4: Simplify right side
    19,034x = 751,637,056
  5. Step 5: Solve for x
    x = 751,637,056/19,034
  6. Step 6: Final answer
    x = 39,489.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.