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Finding the Third Proportional to 27,206.25 and 42,039.75

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Solution

The third proportional to 27,206.25 and 42,039.75 is: 64,960.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,206.25 : 42,039.75 = 42,039.75 : x
  2. Step 2: Convert to fraction form
    27,206.25/42,039.75 = 42,039.75/x
  3. Step 3: Cross multiply
    27,206.25x = 42,039.75 × 42,039.75
  4. Step 4: Simplify right side
    27,206.25x = 1,767,340,580.06
  5. Step 5: Solve for x
    x = 1,767,340,580.06/27,206.25
  6. Step 6: Final answer
    x = 64,960.83

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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.