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Finding the Third Proportional to 5,964 and 14,158

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Solution

The third proportional to 5,964 and 14,158 is: 33,609.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964 : 14,158 = 14,158 : x
  2. Step 2: Convert to fraction form
    5,964/14,158 = 14,158/x
  3. Step 3: Cross multiply
    5,964x = 14,158 × 14,158
  4. Step 4: Simplify right side
    5,964x = 200,448,964
  5. Step 5: Solve for x
    x = 200,448,964/5,964
  6. Step 6: Final answer
    x = 33,609.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.