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Finding the Third Proportional to 6,184 and 13,703

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Solution

The third proportional to 6,184 and 13,703 is: 30,364.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184 : 13,703 = 13,703 : x
  2. Step 2: Convert to fraction form
    6,184/13,703 = 13,703/x
  3. Step 3: Cross multiply
    6,184x = 13,703 × 13,703
  4. Step 4: Simplify right side
    6,184x = 187,772,209
  5. Step 5: Solve for x
    x = 187,772,209/6,184
  6. Step 6: Final answer
    x = 30,364.20

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.