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Finding the Third Proportional to 14,350.50 and 31,006.97

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Solution

The third proportional to 14,350.50 and 31,006.97 is: 66,996.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,350.50 : 31,006.97 = 31,006.97 : x
  2. Step 2: Convert to fraction form
    14,350.50/31,006.97 = 31,006.97/x
  3. Step 3: Cross multiply
    14,350.50x = 31,006.97 × 31,006.97
  4. Step 4: Simplify right side
    14,350.50x = 961,432,111.06
  5. Step 5: Solve for x
    x = 961,432,111.06/14,350.50
  6. Step 6: Final answer
    x = 66,996.42

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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.