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Finding the Third Proportional to 20,145 and 34,969.50

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Solution

The third proportional to 20,145 and 34,969.50 is: 60,703.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,145 : 34,969.50 = 34,969.50 : x
  2. Step 2: Convert to fraction form
    20,145/34,969.50 = 34,969.50/x
  3. Step 3: Cross multiply
    20,145x = 34,969.50 × 34,969.50
  4. Step 4: Simplify right side
    20,145x = 1,222,865,930.25
  5. Step 5: Solve for x
    x = 1,222,865,930.25/20,145
  6. Step 6: Final answer
    x = 60,703.20

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These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.