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Finding the Third Proportional to 8,964 and 19,600

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Solution

The third proportional to 8,964 and 19,600 is: 42,855.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,964 : 19,600 = 19,600 : x
  2. Step 2: Convert to fraction form
    8,964/19,600 = 19,600/x
  3. Step 3: Cross multiply
    8,964x = 19,600 × 19,600
  4. Step 4: Simplify right side
    8,964x = 384,160,000
  5. Step 5: Solve for x
    x = 384,160,000/8,964
  6. Step 6: Final answer
    x = 42,855.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.