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Finding the Third Proportional to 20,798.44 and 31,187.53

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Solution

The third proportional to 20,798.44 and 31,187.53 is: 46,766.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,798.44 : 31,187.53 = 31,187.53 : x
  2. Step 2: Convert to fraction form
    20,798.44/31,187.53 = 31,187.53/x
  3. Step 3: Cross multiply
    20,798.44x = 31,187.53 × 31,187.53
  4. Step 4: Simplify right side
    20,798.44x = 972,662,105.47
  5. Step 5: Solve for x
    x = 972,662,105.47/20,798.44
  6. Step 6: Final answer
    x = 46,766.11

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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.