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Finding the Third Proportional to 14,771.25 and 31,618.69

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Solution

The third proportional to 14,771.25 and 31,618.69 is: 67,681.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,771.25 : 31,618.69 = 31,618.69 : x
  2. Step 2: Convert to fraction form
    14,771.25/31,618.69 = 31,618.69/x
  3. Step 3: Cross multiply
    14,771.25x = 31,618.69 × 31,618.69
  4. Step 4: Simplify right side
    14,771.25x = 999,741,399.22
  5. Step 5: Solve for x
    x = 999,741,399.22/14,771.25
  6. Step 6: Final answer
    x = 67,681.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.