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Finding the Third Proportional to 6,052.50 and 12,659

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Solution

The third proportional to 6,052.50 and 12,659 is: 26,476.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,052.50 : 12,659 = 12,659 : x
  2. Step 2: Convert to fraction form
    6,052.50/12,659 = 12,659/x
  3. Step 3: Cross multiply
    6,052.50x = 12,659 × 12,659
  4. Step 4: Simplify right side
    6,052.50x = 160,250,281
  5. Step 5: Solve for x
    x = 160,250,281/6,052.50
  6. Step 6: Final answer
    x = 26,476.71

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.