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Finding the Third Proportional to 20,381.50 and 31,365.50

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Solution

The third proportional to 20,381.50 and 31,365.50 is: 48,269.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,381.50 : 31,365.50 = 31,365.50 : x
  2. Step 2: Convert to fraction form
    20,381.50/31,365.50 = 31,365.50/x
  3. Step 3: Cross multiply
    20,381.50x = 31,365.50 × 31,365.50
  4. Step 4: Simplify right side
    20,381.50x = 983,794,590.25
  5. Step 5: Solve for x
    x = 983,794,590.25/20,381.50
  6. Step 6: Final answer
    x = 48,269.00

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.