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Finding the Third Proportional to 4,536 and 5,584

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Solution

The third proportional to 4,536 and 5,584 is: 6,874.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536 : 5,584 = 5,584 : x
  2. Step 2: Convert to fraction form
    4,536/5,584 = 5,584/x
  3. Step 3: Cross multiply
    4,536x = 5,584 × 5,584
  4. Step 4: Simplify right side
    4,536x = 31,181,056
  5. Step 5: Solve for x
    x = 31,181,056/4,536
  6. Step 6: Final answer
    x = 6,874.13

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.