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Finding the Third Proportional to 5,784 and 9,228

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Solution

The third proportional to 5,784 and 9,228 is: 14,722.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784 : 9,228 = 9,228 : x
  2. Step 2: Convert to fraction form
    5,784/9,228 = 9,228/x
  3. Step 3: Cross multiply
    5,784x = 9,228 × 9,228
  4. Step 4: Simplify right side
    5,784x = 85,155,984
  5. Step 5: Solve for x
    x = 85,155,984/5,784
  6. Step 6: Final answer
    x = 14,722.68

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.