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Finding the Third Proportional to 21,865.50 and 30,631.50

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Solution

The third proportional to 21,865.50 and 30,631.50 is: 42,911.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,865.50 : 30,631.50 = 30,631.50 : x
  2. Step 2: Convert to fraction form
    21,865.50/30,631.50 = 30,631.50/x
  3. Step 3: Cross multiply
    21,865.50x = 30,631.50 × 30,631.50
  4. Step 4: Simplify right side
    21,865.50x = 938,288,792.25
  5. Step 5: Solve for x
    x = 938,288,792.25/21,865.50
  6. Step 6: Final answer
    x = 42,911.84

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.