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Finding the Third Proportional to 3,063 and 3,513

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Solution

The third proportional to 3,063 and 3,513 is: 4,029.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,063 : 3,513 = 3,513 : x
  2. Step 2: Convert to fraction form
    3,063/3,513 = 3,513/x
  3. Step 3: Cross multiply
    3,063x = 3,513 × 3,513
  4. Step 4: Simplify right side
    3,063x = 12,341,169
  5. Step 5: Solve for x
    x = 12,341,169/3,063
  6. Step 6: Final answer
    x = 4,029.11

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.