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Finding the Third Proportional to 12,861 and 26,079.50

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Solution

The third proportional to 12,861 and 26,079.50 is: 52,883.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861 : 26,079.50 = 26,079.50 : x
  2. Step 2: Convert to fraction form
    12,861/26,079.50 = 26,079.50/x
  3. Step 3: Cross multiply
    12,861x = 26,079.50 × 26,079.50
  4. Step 4: Simplify right side
    12,861x = 680,140,320.25
  5. Step 5: Solve for x
    x = 680,140,320.25/12,861
  6. Step 6: Final answer
    x = 52,883.94

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.