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Finding the Third Proportional to 5,527 and 6,013

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Solution

The third proportional to 5,527 and 6,013 is: 6,541.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,527 : 6,013 = 6,013 : x
  2. Step 2: Convert to fraction form
    5,527/6,013 = 6,013/x
  3. Step 3: Cross multiply
    5,527x = 6,013 × 6,013
  4. Step 4: Simplify right side
    5,527x = 36,156,169
  5. Step 5: Solve for x
    x = 36,156,169/5,527
  6. Step 6: Final answer
    x = 6,541.73

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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.