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Finding the Third Proportional to 5,584 and 7,446

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Solution

The third proportional to 5,584 and 7,446 is: 9,928.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584 : 7,446 = 7,446 : x
  2. Step 2: Convert to fraction form
    5,584/7,446 = 7,446/x
  3. Step 3: Cross multiply
    5,584x = 7,446 × 7,446
  4. Step 4: Simplify right side
    5,584x = 55,442,916
  5. Step 5: Solve for x
    x = 55,442,916/5,584
  6. Step 6: Final answer
    x = 9,928.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.