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Finding the Third Proportional to 9,170 and 19,633

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Solution

The third proportional to 9,170 and 19,633 is: 42,034.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170 : 19,633 = 19,633 : x
  2. Step 2: Convert to fraction form
    9,170/19,633 = 19,633/x
  3. Step 3: Cross multiply
    9,170x = 19,633 × 19,633
  4. Step 4: Simplify right side
    9,170x = 385,454,689
  5. Step 5: Solve for x
    x = 385,454,689/9,170
  6. Step 6: Final answer
    x = 42,034.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.