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Finding the Third Proportional to 9,128 and 19,573

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Solution

The third proportional to 9,128 and 19,573 is: 41,970.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,128 : 19,573 = 19,573 : x
  2. Step 2: Convert to fraction form
    9,128/19,573 = 19,573/x
  3. Step 3: Cross multiply
    9,128x = 19,573 × 19,573
  4. Step 4: Simplify right side
    9,128x = 383,102,329
  5. Step 5: Solve for x
    x = 383,102,329/9,128
  6. Step 6: Final answer
    x = 41,970.02

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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.