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Finding the Third Proportional to 14,240.39 and 31,165.59

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Solution

The third proportional to 14,240.39 and 31,165.59 is: 68,206.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,240.39 : 31,165.59 = 31,165.59 : x
  2. Step 2: Convert to fraction form
    14,240.39/31,165.59 = 31,165.59/x
  3. Step 3: Cross multiply
    14,240.39x = 31,165.59 × 31,165.59
  4. Step 4: Simplify right side
    14,240.39x = 971,294,233.79
  5. Step 5: Solve for x
    x = 971,294,233.79/14,240.39
  6. Step 6: Final answer
    x = 68,206.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.