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Finding the Third Proportional to 19,151 and 27,584

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Solution

The third proportional to 19,151 and 27,584 is: 39,730.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,151 : 27,584 = 27,584 : x
  2. Step 2: Convert to fraction form
    19,151/27,584 = 27,584/x
  3. Step 3: Cross multiply
    19,151x = 27,584 × 27,584
  4. Step 4: Simplify right side
    19,151x = 760,877,056
  5. Step 5: Solve for x
    x = 760,877,056/19,151
  6. Step 6: Final answer
    x = 39,730.41

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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.