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Finding the Third Proportional to 20,503.13 and 31,677.33

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Solution

The third proportional to 20,503.13 and 31,677.33 is: 48,941.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,503.13 : 31,677.33 = 31,677.33 : x
  2. Step 2: Convert to fraction form
    20,503.13/31,677.33 = 31,677.33/x
  3. Step 3: Cross multiply
    20,503.13x = 31,677.33 × 31,677.33
  4. Step 4: Simplify right side
    20,503.13x = 1,003,453,117.14
  5. Step 5: Solve for x
    x = 1,003,453,117.14/20,503.13
  6. Step 6: Final answer
    x = 48,941.47

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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.