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Finding the Third Proportional to 5,184 and 9,306

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Solution

The third proportional to 5,184 and 9,306 is: 16,705.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184 : 9,306 = 9,306 : x
  2. Step 2: Convert to fraction form
    5,184/9,306 = 9,306/x
  3. Step 3: Cross multiply
    5,184x = 9,306 × 9,306
  4. Step 4: Simplify right side
    5,184x = 86,601,636
  5. Step 5: Solve for x
    x = 86,601,636/5,184
  6. Step 6: Final answer
    x = 16,705.56

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.