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Finding the Third Proportional to 7,184 and 13,240

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Solution

The third proportional to 7,184 and 13,240 is: 24,401.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184 : 13,240 = 13,240 : x
  2. Step 2: Convert to fraction form
    7,184/13,240 = 13,240/x
  3. Step 3: Cross multiply
    7,184x = 13,240 × 13,240
  4. Step 4: Simplify right side
    7,184x = 175,297,600
  5. Step 5: Solve for x
    x = 175,297,600/7,184
  6. Step 6: Final answer
    x = 24,401.11

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.