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Finding the Third Proportional to 14,073.75 and 22,097.25

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Solution

The third proportional to 14,073.75 and 22,097.25 is: 34,694.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,073.75 : 22,097.25 = 22,097.25 : x
  2. Step 2: Convert to fraction form
    14,073.75/22,097.25 = 22,097.25/x
  3. Step 3: Cross multiply
    14,073.75x = 22,097.25 × 22,097.25
  4. Step 4: Simplify right side
    14,073.75x = 488,288,457.56
  5. Step 5: Solve for x
    x = 488,288,457.56/14,073.75
  6. Step 6: Final answer
    x = 34,694.98

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.