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Finding the Third Proportional to 14,382.50 and 19,431.75

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Solution

The third proportional to 14,382.50 and 19,431.75 is: 26,253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382.50 : 19,431.75 = 19,431.75 : x
  2. Step 2: Convert to fraction form
    14,382.50/19,431.75 = 19,431.75/x
  3. Step 3: Cross multiply
    14,382.50x = 19,431.75 × 19,431.75
  4. Step 4: Simplify right side
    14,382.50x = 377,592,908.06
  5. Step 5: Solve for x
    x = 377,592,908.06/14,382.50
  6. Step 6: Final answer
    x = 26,253.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.