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Finding the Third Proportional to 14,382 and 31,379.06

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Solution

The third proportional to 14,382 and 31,379.06 is: 68,463.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382 : 31,379.06 = 31,379.06 : x
  2. Step 2: Convert to fraction form
    14,382/31,379.06 = 31,379.06/x
  3. Step 3: Cross multiply
    14,382x = 31,379.06 × 31,379.06
  4. Step 4: Simplify right side
    14,382x = 984,645,563.38
  5. Step 5: Solve for x
    x = 984,645,563.38/14,382
  6. Step 6: Final answer
    x = 68,463.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.