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Finding the Third Proportional to 5,014 and 6,513

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Solution

The third proportional to 5,014 and 6,513 is: 8,460.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,014 : 6,513 = 6,513 : x
  2. Step 2: Convert to fraction form
    5,014/6,513 = 6,513/x
  3. Step 3: Cross multiply
    5,014x = 6,513 × 6,513
  4. Step 4: Simplify right side
    5,014x = 42,419,169
  5. Step 5: Solve for x
    x = 42,419,169/5,014
  6. Step 6: Final answer
    x = 8,460.15

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.