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Finding the Third Proportional to 5,784 and 8,964

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Solution

The third proportional to 5,784 and 8,964 is: 13,892.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784 : 8,964 = 8,964 : x
  2. Step 2: Convert to fraction form
    5,784/8,964 = 8,964/x
  3. Step 3: Cross multiply
    5,784x = 8,964 × 8,964
  4. Step 4: Simplify right side
    5,784x = 80,353,296
  5. Step 5: Solve for x
    x = 80,353,296/5,784
  6. Step 6: Final answer
    x = 13,892.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.