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Finding the Third Proportional to 26,986.50 and 42,238.13

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Solution

The third proportional to 26,986.50 and 42,238.13 is: 66,109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,986.50 : 42,238.13 = 42,238.13 : x
  2. Step 2: Convert to fraction form
    26,986.50/42,238.13 = 42,238.13/x
  3. Step 3: Cross multiply
    26,986.50x = 42,238.13 × 42,238.13
  4. Step 4: Simplify right side
    26,986.50x = 1,784,059,203.52
  5. Step 5: Solve for x
    x = 1,784,059,203.52/26,986.50
  6. Step 6: Final answer
    x = 66,109.32

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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.