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Finding the Third Proportional to 42,804.75 and 66,538.50

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Solution

The third proportional to 42,804.75 and 66,538.50 is: 103,431.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,804.75 : 66,538.50 = 66,538.50 : x
  2. Step 2: Convert to fraction form
    42,804.75/66,538.50 = 66,538.50/x
  3. Step 3: Cross multiply
    42,804.75x = 66,538.50 × 66,538.50
  4. Step 4: Simplify right side
    42,804.75x = 4,427,371,982.25
  5. Step 5: Solve for x
    x = 4,427,371,982.25/42,804.75
  6. Step 6: Final answer
    x = 103,431.79

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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.