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Finding the Third Proportional to 17,200 and 19,768

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Solution

The third proportional to 17,200 and 19,768 is: 22,719.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,200 : 19,768 = 19,768 : x
  2. Step 2: Convert to fraction form
    17,200/19,768 = 19,768/x
  3. Step 3: Cross multiply
    17,200x = 19,768 × 19,768
  4. Step 4: Simplify right side
    17,200x = 390,773,824
  5. Step 5: Solve for x
    x = 390,773,824/17,200
  6. Step 6: Final answer
    x = 22,719.41

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.