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Finding the Third Proportional to 20,763.94 and 31,139.47

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Solution

The third proportional to 20,763.94 and 31,139.47 is: 46,699.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,763.94 : 31,139.47 = 31,139.47 : x
  2. Step 2: Convert to fraction form
    20,763.94/31,139.47 = 31,139.47/x
  3. Step 3: Cross multiply
    20,763.94x = 31,139.47 × 31,139.47
  4. Step 4: Simplify right side
    20,763.94x = 969,666,514.03
  5. Step 5: Solve for x
    x = 969,666,514.03/20,763.94
  6. Step 6: Final answer
    x = 46,699.55

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