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Finding the Third Proportional to 13,086 and 28,260

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Solution

The third proportional to 13,086 and 28,260 is: 61,029.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086 : 28,260 = 28,260 : x
  2. Step 2: Convert to fraction form
    13,086/28,260 = 28,260/x
  3. Step 3: Cross multiply
    13,086x = 28,260 × 28,260
  4. Step 4: Simplify right side
    13,086x = 798,627,600
  5. Step 5: Solve for x
    x = 798,627,600/13,086
  6. Step 6: Final answer
    x = 61,029.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.