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Finding the Third Proportional to 12,964 and 16,622

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Solution

The third proportional to 12,964 and 16,622 is: 21,312.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,964 : 16,622 = 16,622 : x
  2. Step 2: Convert to fraction form
    12,964/16,622 = 16,622/x
  3. Step 3: Cross multiply
    12,964x = 16,622 × 16,622
  4. Step 4: Simplify right side
    12,964x = 276,290,884
  5. Step 5: Solve for x
    x = 276,290,884/12,964
  6. Step 6: Final answer
    x = 21,312.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.