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Finding the Third Proportional to 14,190 and 22,863.75

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Solution

The third proportional to 14,190 and 22,863.75 is: 36,839.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,190 : 22,863.75 = 22,863.75 : x
  2. Step 2: Convert to fraction form
    14,190/22,863.75 = 22,863.75/x
  3. Step 3: Cross multiply
    14,190x = 22,863.75 × 22,863.75
  4. Step 4: Simplify right side
    14,190x = 522,751,064.06
  5. Step 5: Solve for x
    x = 522,751,064.06/14,190
  6. Step 6: Final answer
    x = 36,839.40

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.