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Finding the Third Proportional to 17,050 and 19,522

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Solution

The third proportional to 17,050 and 19,522 is: 22,352.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,050 : 19,522 = 19,522 : x
  2. Step 2: Convert to fraction form
    17,050/19,522 = 19,522/x
  3. Step 3: Cross multiply
    17,050x = 19,522 × 19,522
  4. Step 4: Simplify right side
    17,050x = 381,108,484
  5. Step 5: Solve for x
    x = 381,108,484/17,050
  6. Step 6: Final answer
    x = 22,352.40

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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.