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Finding the Third Proportional to 14,289.75 and 31,231.69

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Solution

The third proportional to 14,289.75 and 31,231.69 is: 68,260.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,289.75 : 31,231.69 = 31,231.69 : x
  2. Step 2: Convert to fraction form
    14,289.75/31,231.69 = 31,231.69/x
  3. Step 3: Cross multiply
    14,289.75x = 31,231.69 × 31,231.69
  4. Step 4: Simplify right side
    14,289.75x = 975,418,304.10
  5. Step 5: Solve for x
    x = 975,418,304.10/14,289.75
  6. Step 6: Final answer
    x = 68,260.00

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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.