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Finding the Third Proportional to 20,828 and 29,683.50

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Solution

The third proportional to 20,828 and 29,683.50 is: 42,304.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,828 : 29,683.50 = 29,683.50 : x
  2. Step 2: Convert to fraction form
    20,828/29,683.50 = 29,683.50/x
  3. Step 3: Cross multiply
    20,828x = 29,683.50 × 29,683.50
  4. Step 4: Simplify right side
    20,828x = 881,110,172.25
  5. Step 5: Solve for x
    x = 881,110,172.25/20,828
  6. Step 6: Final answer
    x = 42,304.12

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.