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Finding the Third Proportional to 20,377.83 and 31,495.08

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Solution

The third proportional to 20,377.83 and 31,495.08 is: 48,677.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,377.83 : 31,495.08 = 31,495.08 : x
  2. Step 2: Convert to fraction form
    20,377.83/31,495.08 = 31,495.08/x
  3. Step 3: Cross multiply
    20,377.83x = 31,495.08 × 31,495.08
  4. Step 4: Simplify right side
    20,377.83x = 991,939,946.10
  5. Step 5: Solve for x
    x = 991,939,946.10/20,377.83
  6. Step 6: Final answer
    x = 48,677.41

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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.