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Finding the Third Proportional to 12,050 and 17,522

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Solution

The third proportional to 12,050 and 17,522 is: 25,478.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,050 : 17,522 = 17,522 : x
  2. Step 2: Convert to fraction form
    12,050/17,522 = 17,522/x
  3. Step 3: Cross multiply
    12,050x = 17,522 × 17,522
  4. Step 4: Simplify right side
    12,050x = 307,020,484
  5. Step 5: Solve for x
    x = 307,020,484/12,050
  6. Step 6: Final answer
    x = 25,478.88

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.