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Finding the Third Proportional to 20,302.59 and 31,246.31

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Solution

The third proportional to 20,302.59 and 31,246.31 is: 48,089.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,302.59 : 31,246.31 = 31,246.31 : x
  2. Step 2: Convert to fraction form
    20,302.59/31,246.31 = 31,246.31/x
  3. Step 3: Cross multiply
    20,302.59x = 31,246.31 × 31,246.31
  4. Step 4: Simplify right side
    20,302.59x = 976,332,044.85
  5. Step 5: Solve for x
    x = 976,332,044.85/20,302.59
  6. Step 6: Final answer
    x = 48,089.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.