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Finding the Third Proportional to 14,294.25 and 31,497.75

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Solution

The third proportional to 14,294.25 and 31,497.75 is: 69,406.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,294.25 : 31,497.75 = 31,497.75 : x
  2. Step 2: Convert to fraction form
    14,294.25/31,497.75 = 31,497.75/x
  3. Step 3: Cross multiply
    14,294.25x = 31,497.75 × 31,497.75
  4. Step 4: Simplify right side
    14,294.25x = 992,108,255.06
  5. Step 5: Solve for x
    x = 992,108,255.06/14,294.25
  6. Step 6: Final answer
    x = 69,406.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.