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Finding the Third Proportional to 6,184 and 9,964

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Solution

The third proportional to 6,184 and 9,964 is: 16,054.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184 : 9,964 = 9,964 : x
  2. Step 2: Convert to fraction form
    6,184/9,964 = 9,964/x
  3. Step 3: Cross multiply
    6,184x = 9,964 × 9,964
  4. Step 4: Simplify right side
    6,184x = 99,281,296
  5. Step 5: Solve for x
    x = 99,281,296/6,184
  6. Step 6: Final answer
    x = 16,054.54

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.