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Finding the Third Proportional to 9,964 and 17,600

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Solution

The third proportional to 9,964 and 17,600 is: 31,087.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964 : 17,600 = 17,600 : x
  2. Step 2: Convert to fraction form
    9,964/17,600 = 17,600/x
  3. Step 3: Cross multiply
    9,964x = 17,600 × 17,600
  4. Step 4: Simplify right side
    9,964x = 309,760,000
  5. Step 5: Solve for x
    x = 309,760,000/9,964
  6. Step 6: Final answer
    x = 31,087.92

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.