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Finding the Third Proportional to 42,793.50 and 66,522.50

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Solution

The third proportional to 42,793.50 and 66,522.50 is: 103,409.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,793.50 : 66,522.50 = 66,522.50 : x
  2. Step 2: Convert to fraction form
    42,793.50/66,522.50 = 66,522.50/x
  3. Step 3: Cross multiply
    42,793.50x = 66,522.50 × 66,522.50
  4. Step 4: Simplify right side
    42,793.50x = 4,425,243,006.25
  5. Step 5: Solve for x
    x = 4,425,243,006.25/42,793.50
  6. Step 6: Final answer
    x = 103,409.23

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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.