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Finding the Third Proportional to 19,200 and 26,748

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Solution

The third proportional to 19,200 and 26,748 is: 37,263.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,200 : 26,748 = 26,748 : x
  2. Step 2: Convert to fraction form
    19,200/26,748 = 26,748/x
  3. Step 3: Cross multiply
    19,200x = 26,748 × 26,748
  4. Step 4: Simplify right side
    19,200x = 715,455,504
  5. Step 5: Solve for x
    x = 715,455,504/19,200
  6. Step 6: Final answer
    x = 37,263.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.