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Finding the Third Proportional to 42,646.50 and 66,900.38

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Solution

The third proportional to 42,646.50 and 66,900.38 is: 104,947.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,646.50 : 66,900.38 = 66,900.38 : x
  2. Step 2: Convert to fraction form
    42,646.50/66,900.38 = 66,900.38/x
  3. Step 3: Cross multiply
    42,646.50x = 66,900.38 × 66,900.38
  4. Step 4: Simplify right side
    42,646.50x = 4,475,660,175.14
  5. Step 5: Solve for x
    x = 4,475,660,175.14/42,646.50
  6. Step 6: Final answer
    x = 104,947.89

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.