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Finding the Third Proportional to 17,076 and 19,540

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Solution

The third proportional to 17,076 and 19,540 is: 22,359.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,076 : 19,540 = 19,540 : x
  2. Step 2: Convert to fraction form
    17,076/19,540 = 19,540/x
  3. Step 3: Cross multiply
    17,076x = 19,540 × 19,540
  4. Step 4: Simplify right side
    17,076x = 381,811,600
  5. Step 5: Solve for x
    x = 381,811,600/17,076
  6. Step 6: Final answer
    x = 22,359.55

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.