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Finding the Third Proportional to 19,584 and 27,904

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Solution

The third proportional to 19,584 and 27,904 is: 39,758.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,584 : 27,904 = 27,904 : x
  2. Step 2: Convert to fraction form
    19,584/27,904 = 27,904/x
  3. Step 3: Cross multiply
    19,584x = 27,904 × 27,904
  4. Step 4: Simplify right side
    19,584x = 778,633,216
  5. Step 5: Solve for x
    x = 778,633,216/19,584
  6. Step 6: Final answer
    x = 39,758.64

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.