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Finding the Third Proportional to 8,394 and 19,455

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Solution

The third proportional to 8,394 and 19,455 is: 45,091.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394 : 19,455 = 19,455 : x
  2. Step 2: Convert to fraction form
    8,394/19,455 = 19,455/x
  3. Step 3: Cross multiply
    8,394x = 19,455 × 19,455
  4. Step 4: Simplify right side
    8,394x = 378,497,025
  5. Step 5: Solve for x
    x = 378,497,025/8,394
  6. Step 6: Final answer
    x = 45,091.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.