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Finding the Third Proportional to 14,515.37 and 21,212.90

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Solution

The third proportional to 14,515.37 and 21,212.90 is: 31,000.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,515.37 : 21,212.90 = 21,212.90 : x
  2. Step 2: Convert to fraction form
    14,515.37/21,212.90 = 21,212.90/x
  3. Step 3: Cross multiply
    14,515.37x = 21,212.90 × 21,212.90
  4. Step 4: Simplify right side
    14,515.37x = 449,987,267.28
  5. Step 5: Solve for x
    x = 449,987,267.28/14,515.37
  6. Step 6: Final answer
    x = 31,000.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.