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Finding the Third Proportional to 14,314.50 and 22,857.75

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Solution

The third proportional to 14,314.50 and 22,857.75 is: 36,499.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.50 : 22,857.75 = 22,857.75 : x
  2. Step 2: Convert to fraction form
    14,314.50/22,857.75 = 22,857.75/x
  3. Step 3: Cross multiply
    14,314.50x = 22,857.75 × 22,857.75
  4. Step 4: Simplify right side
    14,314.50x = 522,476,735.06
  5. Step 5: Solve for x
    x = 522,476,735.06/14,314.50
  6. Step 6: Final answer
    x = 36,499.82

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.