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Finding the Third Proportional to 20,732.63 and 31,006.13

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Solution

The third proportional to 20,732.63 and 31,006.13 is: 46,370.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,732.63 : 31,006.13 = 31,006.13 : x
  2. Step 2: Convert to fraction form
    20,732.63/31,006.13 = 31,006.13/x
  3. Step 3: Cross multiply
    20,732.63x = 31,006.13 × 31,006.13
  4. Step 4: Simplify right side
    20,732.63x = 961,379,787.52
  5. Step 5: Solve for x
    x = 961,379,787.52/20,732.63
  6. Step 6: Final answer
    x = 46,370.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.