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Finding the Third Proportional to 10,964 and 14,696

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Solution

The third proportional to 10,964 and 14,696 is: 19,698.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964 : 14,696 = 14,696 : x
  2. Step 2: Convert to fraction form
    10,964/14,696 = 14,696/x
  3. Step 3: Cross multiply
    10,964x = 14,696 × 14,696
  4. Step 4: Simplify right side
    10,964x = 215,972,416
  5. Step 5: Solve for x
    x = 215,972,416/10,964
  6. Step 6: Final answer
    x = 19,698.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.