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Finding the Third Proportional to 8,184 and 17,520

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Solution

The third proportional to 8,184 and 17,520 is: 37,506.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184 : 17,520 = 17,520 : x
  2. Step 2: Convert to fraction form
    8,184/17,520 = 17,520/x
  3. Step 3: Cross multiply
    8,184x = 17,520 × 17,520
  4. Step 4: Simplify right side
    8,184x = 306,950,400
  5. Step 5: Solve for x
    x = 306,950,400/8,184
  6. Step 6: Final answer
    x = 37,506.16

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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.