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Finding the Third Proportional to 5,085 and 5,535

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Solution

The third proportional to 5,085 and 5,535 is: 6,024.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,085 : 5,535 = 5,535 : x
  2. Step 2: Convert to fraction form
    5,085/5,535 = 5,535/x
  3. Step 3: Cross multiply
    5,085x = 5,535 × 5,535
  4. Step 4: Simplify right side
    5,085x = 30,636,225
  5. Step 5: Solve for x
    x = 30,636,225/5,085
  6. Step 6: Final answer
    x = 6,024.82

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.