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Finding the Third Proportional to 5,135 and 5,513

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Solution

The third proportional to 5,135 and 5,513 is: 5,918.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135 : 5,513 = 5,513 : x
  2. Step 2: Convert to fraction form
    5,135/5,513 = 5,513/x
  3. Step 3: Cross multiply
    5,135x = 5,513 × 5,513
  4. Step 4: Simplify right side
    5,135x = 30,393,169
  5. Step 5: Solve for x
    x = 30,393,169/5,135
  6. Step 6: Final answer
    x = 5,918.83

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.