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Finding the Third Proportional to 38,569.50 and 59,683.50

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Solution

The third proportional to 38,569.50 and 59,683.50 is: 92,355.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,569.50 : 59,683.50 = 59,683.50 : x
  2. Step 2: Convert to fraction form
    38,569.50/59,683.50 = 59,683.50/x
  3. Step 3: Cross multiply
    38,569.50x = 59,683.50 × 59,683.50
  4. Step 4: Simplify right side
    38,569.50x = 3,562,120,172.25
  5. Step 5: Solve for x
    x = 3,562,120,172.25/38,569.50
  6. Step 6: Final answer
    x = 92,355.88

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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.