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Finding the Third Proportional to 13,964 and 16,412

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Solution

The third proportional to 13,964 and 16,412 is: 19,289.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,964 : 16,412 = 16,412 : x
  2. Step 2: Convert to fraction form
    13,964/16,412 = 16,412/x
  3. Step 3: Cross multiply
    13,964x = 16,412 × 16,412
  4. Step 4: Simplify right side
    13,964x = 269,353,744
  5. Step 5: Solve for x
    x = 269,353,744/13,964
  6. Step 6: Final answer
    x = 19,289.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.