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Finding the Third Proportional to 27,128.20 and 42,428.65

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Solution

The third proportional to 27,128.20 and 42,428.65 is: 66,358.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,128.20 : 42,428.65 = 42,428.65 : x
  2. Step 2: Convert to fraction form
    27,128.20/42,428.65 = 42,428.65/x
  3. Step 3: Cross multiply
    27,128.20x = 42,428.65 × 42,428.65
  4. Step 4: Simplify right side
    27,128.20x = 1,800,190,705.44
  5. Step 5: Solve for x
    x = 1,800,190,705.44/27,128.20
  6. Step 6: Final answer
    x = 66,358.66

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.