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Finding the Third Proportional to 20,339.86 and 31,491.28

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Solution

The third proportional to 20,339.86 and 31,491.28 is: 48,756.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,339.86 : 31,491.28 = 31,491.28 : x
  2. Step 2: Convert to fraction form
    20,339.86/31,491.28 = 31,491.28/x
  3. Step 3: Cross multiply
    20,339.86x = 31,491.28 × 31,491.28
  4. Step 4: Simplify right side
    20,339.86x = 991,700,794.77
  5. Step 5: Solve for x
    x = 991,700,794.77/20,339.86
  6. Step 6: Final answer
    x = 48,756.52

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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.