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Finding the Third Proportional to 9,537 and 19,479

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Solution

The third proportional to 9,537 and 19,479 is: 39,785.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537 : 19,479 = 19,479 : x
  2. Step 2: Convert to fraction form
    9,537/19,479 = 19,479/x
  3. Step 3: Cross multiply
    9,537x = 19,479 × 19,479
  4. Step 4: Simplify right side
    9,537x = 379,431,441
  5. Step 5: Solve for x
    x = 379,431,441/9,537
  6. Step 6: Final answer
    x = 39,785.20

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.