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Finding the Third Proportional to 9,509 and 19,624

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Solution

The third proportional to 9,509 and 19,624 is: 40,498.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509 : 19,624 = 19,624 : x
  2. Step 2: Convert to fraction form
    9,509/19,624 = 19,624/x
  3. Step 3: Cross multiply
    9,509x = 19,624 × 19,624
  4. Step 4: Simplify right side
    9,509x = 385,101,376
  5. Step 5: Solve for x
    x = 385,101,376/9,509
  6. Step 6: Final answer
    x = 40,498.62

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.