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Finding the Third Proportional to 17,040 and 22,900

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Solution

The third proportional to 17,040 and 22,900 is: 30,775.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,040 : 22,900 = 22,900 : x
  2. Step 2: Convert to fraction form
    17,040/22,900 = 22,900/x
  3. Step 3: Cross multiply
    17,040x = 22,900 × 22,900
  4. Step 4: Simplify right side
    17,040x = 524,410,000
  5. Step 5: Solve for x
    x = 524,410,000/17,040
  6. Step 6: Final answer
    x = 30,775.23

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.