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Finding the Third Proportional to 14,348.25 and 31,002.19

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Solution

The third proportional to 14,348.25 and 31,002.19 is: 66,986.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,348.25 : 31,002.19 = 31,002.19 : x
  2. Step 2: Convert to fraction form
    14,348.25/31,002.19 = 31,002.19/x
  3. Step 3: Cross multiply
    14,348.25x = 31,002.19 × 31,002.19
  4. Step 4: Simplify right side
    14,348.25x = 961,135,629.79
  5. Step 5: Solve for x
    x = 961,135,629.79/14,348.25
  6. Step 6: Final answer
    x = 66,986.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.