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Finding the Third Proportional to 20,651.63 and 31,910.63

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Solution

The third proportional to 20,651.63 and 31,910.63 is: 49,307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,651.63 : 31,910.63 = 31,910.63 : x
  2. Step 2: Convert to fraction form
    20,651.63/31,910.63 = 31,910.63/x
  3. Step 3: Cross multiply
    20,651.63x = 31,910.63 × 31,910.63
  4. Step 4: Simplify right side
    20,651.63x = 1,018,287,987.89
  5. Step 5: Solve for x
    x = 1,018,287,987.89/20,651.63
  6. Step 6: Final answer
    x = 49,307.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.